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Finding the Fourth Proportional to 64,877.18, 89,397.63 and 47,854.49

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Solution

The fourth proportional to 64,877.18, 89,397.63 and 47,854.49 is: 65,941.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,877.18 : 89,397.63 = 47,854.49 : x
  2. Step 2: Convert to fraction form
    64,877.18/89,397.63 = 47,854.49/x
  3. Step 3: Cross multiply
    64,877.18x = 89,397.63 × 47,854.49
  4. Step 4: Simplify right side
    64,877.18x = 4,278,077,543.87
  5. Step 5: Solve for x
    x = 4,278,077,543.87/64,877.18
  6. Step 6: Final answer
    x = 65,941.18

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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.