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Finding the Fourth Proportional to 51,341.71, 77,019.87 and 15,805.99

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Solution

The fourth proportional to 51,341.71, 77,019.87 and 15,805.99 is: 23,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,341.71 : 77,019.87 = 15,805.99 : x
  2. Step 2: Convert to fraction form
    51,341.71/77,019.87 = 15,805.99/x
  3. Step 3: Cross multiply
    51,341.71x = 77,019.87 × 15,805.99
  4. Step 4: Simplify right side
    51,341.71x = 1,217,374,909.92
  5. Step 5: Solve for x
    x = 1,217,374,909.92/51,341.71
  6. Step 6: Final answer
    x = 23,711.23

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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.