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Finding the Fourth Proportional to 51,381.60, 77,023.80 and 30,337.80

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Solution

The fourth proportional to 51,381.60, 77,023.80 and 30,337.80 is: 45,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,381.60 : 77,023.80 = 30,337.80 : x
  2. Step 2: Convert to fraction form
    51,381.60/77,023.80 = 30,337.80/x
  3. Step 3: Cross multiply
    51,381.60x = 77,023.80 × 30,337.80
  4. Step 4: Simplify right side
    51,381.60x = 2,336,732,639.64
  5. Step 5: Solve for x
    x = 2,336,732,639.64/51,381.60
  6. Step 6: Final answer
    x = 45,478.00

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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.