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Finding the Fourth Proportional to 78,882, 118,340.28 and 29,634

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Solution

The fourth proportional to 78,882, 118,340.28 and 29,634 is: 44,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,882 : 118,340.28 = 29,634 : x
  2. Step 2: Convert to fraction form
    78,882/118,340.28 = 29,634/x
  3. Step 3: Cross multiply
    78,882x = 118,340.28 × 29,634
  4. Step 4: Simplify right side
    78,882x = 3,506,895,857.52
  5. Step 5: Solve for x
    x = 3,506,895,857.52/78,882
  6. Step 6: Final answer
    x = 44,457.49

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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.