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Finding the Fourth Proportional to 65,387.45, 89,951.53 and 57,284.61

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Solution

The fourth proportional to 65,387.45, 89,951.53 and 57,284.61 is: 78,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,387.45 : 89,951.53 = 57,284.61 : x
  2. Step 2: Convert to fraction form
    65,387.45/89,951.53 = 57,284.61/x
  3. Step 3: Cross multiply
    65,387.45x = 89,951.53 × 57,284.61
  4. Step 4: Simplify right side
    65,387.45x = 5,152,838,028.53
  5. Step 5: Solve for x
    x = 5,152,838,028.53/65,387.45
  6. Step 6: Final answer
    x = 78,804.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.