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Finding the Fourth Proportional to 130,051.80, 194,931.90 and 55,159.20

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Solution

The fourth proportional to 130,051.80, 194,931.90 and 55,159.20 is: 82,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,051.80 : 194,931.90 = 55,159.20 : x
  2. Step 2: Convert to fraction form
    130,051.80/194,931.90 = 55,159.20/x
  3. Step 3: Cross multiply
    130,051.80x = 194,931.90 × 55,159.20
  4. Step 4: Simplify right side
    130,051.80x = 10,752,287,658.48
  5. Step 5: Solve for x
    x = 10,752,287,658.48/130,051.80
  6. Step 6: Final answer
    x = 82,676.96

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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.