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Finding the Fourth Proportional to 51,411.70, 77,008.20 and 42,663.70

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Solution

The fourth proportional to 51,411.70, 77,008.20 and 42,663.70 is: 63,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,411.70 : 77,008.20 = 42,663.70 : x
  2. Step 2: Convert to fraction form
    51,411.70/77,008.20 = 42,663.70/x
  3. Step 3: Cross multiply
    51,411.70x = 77,008.20 × 42,663.70
  4. Step 4: Simplify right side
    51,411.70x = 3,285,454,742.34
  5. Step 5: Solve for x
    x = 3,285,454,742.34/51,411.70
  6. Step 6: Final answer
    x = 63,904.81

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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.