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Finding the Fourth Proportional to 102,632.80, 153,949.20 and 97,821.40

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Solution

The fourth proportional to 102,632.80, 153,949.20 and 97,821.40 is: 146,732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,632.80 : 153,949.20 = 97,821.40 : x
  2. Step 2: Convert to fraction form
    102,632.80/153,949.20 = 97,821.40/x
  3. Step 3: Cross multiply
    102,632.80x = 153,949.20 × 97,821.40
  4. Step 4: Simplify right side
    102,632.80x = 15,059,526,272.88
  5. Step 5: Solve for x
    x = 15,059,526,272.88/102,632.80
  6. Step 6: Final answer
    x = 146,732.10

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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.