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Finding the Fourth Proportional to 130,436.80, 195,655.20 and 77,948.80

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Solution

The fourth proportional to 130,436.80, 195,655.20 and 77,948.80 is: 116,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,436.80 : 195,655.20 = 77,948.80 : x
  2. Step 2: Convert to fraction form
    130,436.80/195,655.20 = 77,948.80/x
  3. Step 3: Cross multiply
    130,436.80x = 195,655.20 × 77,948.80
  4. Step 4: Simplify right side
    130,436.80x = 15,251,088,053.76
  5. Step 5: Solve for x
    x = 15,251,088,053.76/130,436.80
  6. Step 6: Final answer
    x = 116,923.20

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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.