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Finding the Fourth Proportional to 94,147, 129,934.38 and 54,403

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Solution

The fourth proportional to 94,147, 129,934.38 and 54,403 is: 75,082.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,147 : 129,934.38 = 54,403 : x
  2. Step 2: Convert to fraction form
    94,147/129,934.38 = 54,403/x
  3. Step 3: Cross multiply
    94,147x = 129,934.38 × 54,403
  4. Step 4: Simplify right side
    94,147x = 7,068,820,075.14
  5. Step 5: Solve for x
    x = 7,068,820,075.14/94,147
  6. Step 6: Final answer
    x = 75,082.80

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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.