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Finding the Fourth Proportional to 51,807.69, 77,711.55 and 14,377.20

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Solution

The fourth proportional to 51,807.69, 77,711.55 and 14,377.20 is: 21,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807.69 : 77,711.55 = 14,377.20 : x
  2. Step 2: Convert to fraction form
    51,807.69/77,711.55 = 14,377.20/x
  3. Step 3: Cross multiply
    51,807.69x = 77,711.55 × 14,377.20
  4. Step 4: Simplify right side
    51,807.69x = 1,117,274,496.66
  5. Step 5: Solve for x
    x = 1,117,274,496.66/51,807.69
  6. Step 6: Final answer
    x = 21,565.80

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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.