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Finding the Fourth Proportional to 97,098.18, 145,498.90 and 65,391

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Solution

The fourth proportional to 97,098.18, 145,498.90 and 65,391 is: 97,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,098.18 : 145,498.90 = 65,391 : x
  2. Step 2: Convert to fraction form
    97,098.18/145,498.90 = 65,391/x
  3. Step 3: Cross multiply
    97,098.18x = 145,498.90 × 65,391
  4. Step 4: Simplify right side
    97,098.18x = 9,514,318,569.90
  5. Step 5: Solve for x
    x = 9,514,318,569.90/97,098.18
  6. Step 6: Final answer
    x = 97,986.58

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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.