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Finding the Fourth Proportional to 130,045, 195,067.58 and 31,549

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Solution

The fourth proportional to 130,045, 195,067.58 and 31,549 is: 47,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,045 : 195,067.58 = 31,549 : x
  2. Step 2: Convert to fraction form
    130,045/195,067.58 = 31,549/x
  3. Step 3: Cross multiply
    130,045x = 195,067.58 × 31,549
  4. Step 4: Simplify right side
    130,045x = 6,154,187,081.42
  5. Step 5: Solve for x
    x = 6,154,187,081.42/130,045
  6. Step 6: Final answer
    x = 47,323.52

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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.