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Finding the Fourth Proportional to 77,657.31, 116,315.22 and 64,177.53

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Solution

The fourth proportional to 77,657.31, 116,315.22 and 64,177.53 is: 96,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,657.31 : 116,315.22 = 64,177.53 : x
  2. Step 2: Convert to fraction form
    77,657.31/116,315.22 = 64,177.53/x
  3. Step 3: Cross multiply
    77,657.31x = 116,315.22 × 64,177.53
  4. Step 4: Simplify right side
    77,657.31x = 7,464,822,947.56
  5. Step 5: Solve for x
    x = 7,464,822,947.56/77,657.31
  6. Step 6: Final answer
    x = 96,125.18

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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.