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Finding the Fourth Proportional to 51,460.70, 77,081.70 and 42,712.70

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Solution

The fourth proportional to 51,460.70, 77,081.70 and 42,712.70 is: 63,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,460.70 : 77,081.70 = 42,712.70 : x
  2. Step 2: Convert to fraction form
    51,460.70/77,081.70 = 42,712.70/x
  3. Step 3: Cross multiply
    51,460.70x = 77,081.70 × 42,712.70
  4. Step 4: Simplify right side
    51,460.70x = 3,292,367,527.59
  5. Step 5: Solve for x
    x = 3,292,367,527.59/51,460.70
  6. Step 6: Final answer
    x = 63,978.29

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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.