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Finding the Fourth Proportional to 53,689, 74,091.80 and 29,817.88

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Solution

The fourth proportional to 53,689, 74,091.80 and 29,817.88 is: 41,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,689 : 74,091.80 = 29,817.88 : x
  2. Step 2: Convert to fraction form
    53,689/74,091.80 = 29,817.88/x
  3. Step 3: Cross multiply
    53,689x = 74,091.80 × 29,817.88
  4. Step 4: Simplify right side
    53,689x = 2,209,260,401.38
  5. Step 5: Solve for x
    x = 2,209,260,401.38/53,689
  6. Step 6: Final answer
    x = 41,149.22

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1.5x scale

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.