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Finding the Fourth Proportional to 130,526.80, 195,401.40 and 77,909.20

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Solution

The fourth proportional to 130,526.80, 195,401.40 and 77,909.20 is: 116,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,526.80 : 195,401.40 = 77,909.20 : x
  2. Step 2: Convert to fraction form
    130,526.80/195,401.40 = 77,909.20/x
  3. Step 3: Cross multiply
    130,526.80x = 195,401.40 × 77,909.20
  4. Step 4: Simplify right side
    130,526.80x = 15,223,566,752.88
  5. Step 5: Solve for x
    x = 15,223,566,752.88/130,526.80
  6. Step 6: Final answer
    x = 116,631.73

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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.