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Finding the Fourth Proportional to 108,002.40, 162,084.60 and 55,384.80

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Solution

The fourth proportional to 108,002.40, 162,084.60 and 55,384.80 is: 83,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,002.40 : 162,084.60 = 55,384.80 : x
  2. Step 2: Convert to fraction form
    108,002.40/162,084.60 = 55,384.80/x
  3. Step 3: Cross multiply
    108,002.40x = 162,084.60 × 55,384.80
  4. Step 4: Simplify right side
    108,002.40x = 8,977,023,154.08
  5. Step 5: Solve for x
    x = 8,977,023,154.08/108,002.40
  6. Step 6: Final answer
    x = 83,118.74

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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.