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Finding the Fourth Proportional to 78,302.62, 108,057.92 and 42,492.63

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Solution

The fourth proportional to 78,302.62, 108,057.92 and 42,492.63 is: 58,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,302.62 : 108,057.92 = 42,492.63 : x
  2. Step 2: Convert to fraction form
    78,302.62/108,057.92 = 42,492.63/x
  3. Step 3: Cross multiply
    78,302.62x = 108,057.92 × 42,492.63
  4. Step 4: Simplify right side
    78,302.62x = 4,591,664,494.14
  5. Step 5: Solve for x
    x = 4,591,664,494.14/78,302.62
  6. Step 6: Final answer
    x = 58,639.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.