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Finding the Fourth Proportional to 100,502.15, 150,753.05 and 78,332.15

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Solution

The fourth proportional to 100,502.15, 150,753.05 and 78,332.15 is: 117,498.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,502.15 : 150,753.05 = 78,332.15 : x
  2. Step 2: Convert to fraction form
    100,502.15/150,753.05 = 78,332.15/x
  3. Step 3: Cross multiply
    100,502.15x = 150,753.05 × 78,332.15
  4. Step 4: Simplify right side
    100,502.15x = 11,808,809,380.13
  5. Step 5: Solve for x
    x = 11,808,809,380.13/100,502.15
  6. Step 6: Final answer
    x = 117,498.08

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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.