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Finding the Fourth Proportional to 130,005.30, 194,619.15 and 77,387.70

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Solution

The fourth proportional to 130,005.30, 194,619.15 and 77,387.70 is: 115,850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,005.30 : 194,619.15 = 77,387.70 : x
  2. Step 2: Convert to fraction form
    130,005.30/194,619.15 = 77,387.70/x
  3. Step 3: Cross multiply
    130,005.30x = 194,619.15 × 77,387.70
  4. Step 4: Simplify right side
    130,005.30x = 15,061,128,394.46
  5. Step 5: Solve for x
    x = 15,061,128,394.46/130,005.30
  6. Step 6: Final answer
    x = 115,850.11

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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.