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Finding the Fourth Proportional to 103,896,809.70, 155,742,425.55 and 49,213,280.40

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Solution

The fourth proportional to 103,896,809.70, 155,742,425.55 and 49,213,280.40 is: 73,771,232.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,896,809.70 : 155,742,425.55 = 49,213,280.40 : x
  2. Step 2: Convert to fraction form
    103,896,809.70/155,742,425.55 = 49,213,280.40/x
  3. Step 3: Cross multiply
    103,896,809.70x = 155,742,425.55 × 49,213,280.40
  4. Step 4: Simplify right side
    103,896,809.70x = 7,664,595,658,768,275
  5. Step 5: Solve for x
    x = 7,664,595,658,768,275/103,896,809.70
  6. Step 6: Final answer
    x = 73,771,232.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.