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Finding the Fourth Proportional to 103,531.70, 155,330.31 and 36,970.34

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Solution

The fourth proportional to 103,531.70, 155,330.31 and 36,970.34 is: 55,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,531.70 : 155,330.31 = 36,970.34 : x
  2. Step 2: Convert to fraction form
    103,531.70/155,330.31 = 36,970.34/x
  3. Step 3: Cross multiply
    103,531.70x = 155,330.31 × 36,970.34
  4. Step 4: Simplify right side
    103,531.70x = 5,742,614,373.01
  5. Step 5: Solve for x
    x = 5,742,614,373.01/103,531.70
  6. Step 6: Final answer
    x = 55,467.21

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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.