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Finding the Fourth Proportional to 102,039.60, 153,132.30 and 42,917.70

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Solution

The fourth proportional to 102,039.60, 153,132.30 and 42,917.70 is: 64,407.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,039.60 : 153,132.30 = 42,917.70 : x
  2. Step 2: Convert to fraction form
    102,039.60/153,132.30 = 42,917.70/x
  3. Step 3: Cross multiply
    102,039.60x = 153,132.30 × 42,917.70
  4. Step 4: Simplify right side
    102,039.60x = 6,572,086,111.71
  5. Step 5: Solve for x
    x = 6,572,086,111.71/102,039.60
  6. Step 6: Final answer
    x = 64,407.21

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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.