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Finding the Fourth Proportional to 130,479.84, 195,422.67 and 77,780.43

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Solution

The fourth proportional to 130,479.84, 195,422.67 and 77,780.43 is: 116,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,479.84 : 195,422.67 = 77,780.43 : x
  2. Step 2: Convert to fraction form
    130,479.84/195,422.67 = 77,780.43/x
  3. Step 3: Cross multiply
    130,479.84x = 195,422.67 × 77,780.43
  4. Step 4: Simplify right side
    130,479.84x = 15,200,059,304.35
  5. Step 5: Solve for x
    x = 15,200,059,304.35/130,479.84
  6. Step 6: Final answer
    x = 116,493.55

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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.