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Finding the Fourth Proportional to 86,594.76, 129,702.60 and 51,456.96

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Solution

The fourth proportional to 86,594.76, 129,702.60 and 51,456.96 is: 77,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,594.76 : 129,702.60 = 51,456.96 : x
  2. Step 2: Convert to fraction form
    86,594.76/129,702.60 = 51,456.96/x
  3. Step 3: Cross multiply
    86,594.76x = 129,702.60 × 51,456.96
  4. Step 4: Simplify right side
    86,594.76x = 6,674,101,500.10
  5. Step 5: Solve for x
    x = 6,674,101,500.10/86,594.76
  6. Step 6: Final answer
    x = 77,072.81

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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.