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Finding the Fourth Proportional to 174,209.80, 261,401.10 and 99,387.40

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Solution

The fourth proportional to 174,209.80, 261,401.10 and 99,387.40 is: 149,130.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,209.80 : 261,401.10 = 99,387.40 : x
  2. Step 2: Convert to fraction form
    174,209.80/261,401.10 = 99,387.40/x
  3. Step 3: Cross multiply
    174,209.80x = 261,401.10 × 99,387.40
  4. Step 4: Simplify right side
    174,209.80x = 25,979,975,686.14
  5. Step 5: Solve for x
    x = 25,979,975,686.14/174,209.80
  6. Step 6: Final answer
    x = 149,130.39

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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.