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Finding the Fourth Proportional to 108,649.20, 163,411.20 and 97,276.80

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Solution

The fourth proportional to 108,649.20, 163,411.20 and 97,276.80 is: 146,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,649.20 : 163,411.20 = 97,276.80 : x
  2. Step 2: Convert to fraction form
    108,649.20/163,411.20 = 97,276.80/x
  3. Step 3: Cross multiply
    108,649.20x = 163,411.20 × 97,276.80
  4. Step 4: Simplify right side
    108,649.20x = 15,896,118,620.16
  5. Step 5: Solve for x
    x = 15,896,118,620.16/108,649.20
  6. Step 6: Final answer
    x = 146,306.82

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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.