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Finding the Fourth Proportional to 103,740.70, 155,756.85 and 64,374.70

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Solution

The fourth proportional to 103,740.70, 155,756.85 and 64,374.70 is: 96,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,740.70 : 155,756.85 = 64,374.70 : x
  2. Step 2: Convert to fraction form
    103,740.70/155,756.85 = 64,374.70/x
  3. Step 3: Cross multiply
    103,740.70x = 155,756.85 × 64,374.70
  4. Step 4: Simplify right side
    103,740.70x = 10,026,800,491.70
  5. Step 5: Solve for x
    x = 10,026,800,491.70/103,740.70
  6. Step 6: Final answer
    x = 96,652.52

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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.