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Finding the Fourth Proportional to 102,652.80, 153,979.20 and 97,841.40

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Solution

The fourth proportional to 102,652.80, 153,979.20 and 97,841.40 is: 146,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,652.80 : 153,979.20 = 97,841.40 : x
  2. Step 2: Convert to fraction form
    102,652.80/153,979.20 = 97,841.40/x
  3. Step 3: Cross multiply
    102,652.80x = 153,979.20 × 97,841.40
  4. Step 4: Simplify right side
    102,652.80x = 15,065,540,498.88
  5. Step 5: Solve for x
    x = 15,065,540,498.88/102,652.80
  6. Step 6: Final answer
    x = 146,762.10

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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.