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Finding the Fourth Proportional to 105,187.20, 157,780.80 and 63,715.20

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Solution

The fourth proportional to 105,187.20, 157,780.80 and 63,715.20 is: 95,572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,187.20 : 157,780.80 = 63,715.20 : x
  2. Step 2: Convert to fraction form
    105,187.20/157,780.80 = 63,715.20/x
  3. Step 3: Cross multiply
    105,187.20x = 157,780.80 × 63,715.20
  4. Step 4: Simplify right side
    105,187.20x = 10,053,035,228.16
  5. Step 5: Solve for x
    x = 10,053,035,228.16/105,187.20
  6. Step 6: Final answer
    x = 95,572.80

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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.