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Finding the Fourth Proportional to 145,901.61, 218,721.15 and 52,385.49

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Solution

The fourth proportional to 145,901.61, 218,721.15 and 52,385.49 is: 78,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,901.61 : 218,721.15 = 52,385.49 : x
  2. Step 2: Convert to fraction form
    145,901.61/218,721.15 = 52,385.49/x
  3. Step 3: Cross multiply
    145,901.61x = 218,721.15 × 52,385.49
  4. Step 4: Simplify right side
    145,901.61x = 11,457,814,616.11
  5. Step 5: Solve for x
    x = 11,457,814,616.11/145,901.61
  6. Step 6: Final answer
    x = 78,531.10

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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.