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Finding the Fourth Proportional to 98,421.20, 135,751.28 and 65,699.13

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Solution

The fourth proportional to 98,421.20, 135,751.28 and 65,699.13 is: 90,618.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,421.20 : 135,751.28 = 65,699.13 : x
  2. Step 2: Convert to fraction form
    98,421.20/135,751.28 = 65,699.13/x
  3. Step 3: Cross multiply
    98,421.20x = 135,751.28 × 65,699.13
  4. Step 4: Simplify right side
    98,421.20x = 8,918,740,663.89
  5. Step 5: Solve for x
    x = 8,918,740,663.89/98,421.20
  6. Step 6: Final answer
    x = 90,618.09

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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.