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Finding the Fourth Proportional to 97,987.25, 135,218.49 and 57,702.71

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Solution

The fourth proportional to 97,987.25, 135,218.49 and 57,702.71 is: 79,627.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,987.25 : 135,218.49 = 57,702.71 : x
  2. Step 2: Convert to fraction form
    97,987.25/135,218.49 = 57,702.71/x
  3. Step 3: Cross multiply
    97,987.25x = 135,218.49 × 57,702.71
  4. Step 4: Simplify right side
    97,987.25x = 7,802,473,315.11
  5. Step 5: Solve for x
    x = 7,802,473,315.11/97,987.25
  6. Step 6: Final answer
    x = 79,627.43

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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.