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Finding the Fourth Proportional to 98,829.72, 148,279.38 and 65,681.40

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Solution

The fourth proportional to 98,829.72, 148,279.38 and 65,681.40 is: 98,545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,829.72 : 148,279.38 = 65,681.40 : x
  2. Step 2: Convert to fraction form
    98,829.72/148,279.38 = 65,681.40/x
  3. Step 3: Cross multiply
    98,829.72x = 148,279.38 × 65,681.40
  4. Step 4: Simplify right side
    98,829.72x = 9,739,197,269.53
  5. Step 5: Solve for x
    x = 9,739,197,269.53/98,829.72
  6. Step 6: Final answer
    x = 98,545.23

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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.