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Finding the Fourth Proportional to 157,039.68, 216,785.52 and 103,352.88

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Solution

The fourth proportional to 157,039.68, 216,785.52 and 103,352.88 is: 142,673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,039.68 : 216,785.52 = 103,352.88 : x
  2. Step 2: Convert to fraction form
    157,039.68/216,785.52 = 103,352.88/x
  3. Step 3: Cross multiply
    157,039.68x = 216,785.52 × 103,352.88
  4. Step 4: Simplify right side
    157,039.68x = 22,405,407,834.30
  5. Step 5: Solve for x
    x = 22,405,407,834.30/157,039.68
  6. Step 6: Final answer
    x = 142,673.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.