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Finding the Fourth Proportional to 98,969.68, 148,487.10 and 65,820.16

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Solution

The fourth proportional to 98,969.68, 148,487.10 and 65,820.16 is: 98,751.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,969.68 : 148,487.10 = 65,820.16 : x
  2. Step 2: Convert to fraction form
    98,969.68/148,487.10 = 65,820.16/x
  3. Step 3: Cross multiply
    98,969.68x = 148,487.10 × 65,820.16
  4. Step 4: Simplify right side
    98,969.68x = 9,773,443,608.40
  5. Step 5: Solve for x
    x = 9,773,443,608.40/98,969.68
  6. Step 6: Final answer
    x = 98,751.90

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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.