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Finding the Fourth Proportional to 60,146.80, 90,213.72 and 15,778

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Solution

The fourth proportional to 60,146.80, 90,213.72 and 15,778 is: 23,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,146.80 : 90,213.72 = 15,778 : x
  2. Step 2: Convert to fraction form
    60,146.80/90,213.72 = 15,778/x
  3. Step 3: Cross multiply
    60,146.80x = 90,213.72 × 15,778
  4. Step 4: Simplify right side
    60,146.80x = 1,423,392,074.16
  5. Step 5: Solve for x
    x = 1,423,392,074.16/60,146.80
  6. Step 6: Final answer
    x = 23,665.30

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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.