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Finding the Fourth Proportional to 51,711, 77,566.50 and 16,654.20

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Solution

The fourth proportional to 51,711, 77,566.50 and 16,654.20 is: 24,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,711 : 77,566.50 = 16,654.20 : x
  2. Step 2: Convert to fraction form
    51,711/77,566.50 = 16,654.20/x
  3. Step 3: Cross multiply
    51,711x = 77,566.50 × 16,654.20
  4. Step 4: Simplify right side
    51,711x = 1,291,808,004.30
  5. Step 5: Solve for x
    x = 1,291,808,004.30/51,711
  6. Step 6: Final answer
    x = 24,981.30

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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.