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Finding the Fourth Proportional to 98,688.30, 148,032.45 and 65,445.90

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Solution

The fourth proportional to 98,688.30, 148,032.45 and 65,445.90 is: 98,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,688.30 : 148,032.45 = 65,445.90 : x
  2. Step 2: Convert to fraction form
    98,688.30/148,032.45 = 65,445.90/x
  3. Step 3: Cross multiply
    98,688.30x = 148,032.45 × 65,445.90
  4. Step 4: Simplify right side
    98,688.30x = 9,688,116,919.46
  5. Step 5: Solve for x
    x = 9,688,116,919.46/98,688.30
  6. Step 6: Final answer
    x = 98,168.85

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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.