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Finding the Fourth Proportional to 152,754, 229,056 and 62,780.40

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Solution

The fourth proportional to 152,754, 229,056 and 62,780.40 is: 94,139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,754 : 229,056 = 62,780.40 : x
  2. Step 2: Convert to fraction form
    152,754/229,056 = 62,780.40/x
  3. Step 3: Cross multiply
    152,754x = 229,056 × 62,780.40
  4. Step 4: Simplify right side
    152,754x = 14,380,227,302.40
  5. Step 5: Solve for x
    x = 14,380,227,302.40/152,754
  6. Step 6: Final answer
    x = 94,139.78

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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.