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Finding the Fourth Proportional to 100,688.31, 151,039.13 and 29,617.31

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Solution

The fourth proportional to 100,688.31, 151,039.13 and 29,617.31 is: 44,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,688.31 : 151,039.13 = 29,617.31 : x
  2. Step 2: Convert to fraction form
    100,688.31/151,039.13 = 29,617.31/x
  3. Step 3: Cross multiply
    100,688.31x = 151,039.13 × 29,617.31
  4. Step 4: Simplify right side
    100,688.31x = 4,473,371,832.06
  5. Step 5: Solve for x
    x = 4,473,371,832.06/100,688.31
  6. Step 6: Final answer
    x = 44,427.92

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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.