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Finding the Fourth Proportional to 130,542.60, 195,878.70 and 51,659.40

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Solution

The fourth proportional to 130,542.60, 195,878.70 and 51,659.40 is: 77,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,542.60 : 195,878.70 = 51,659.40 : x
  2. Step 2: Convert to fraction form
    130,542.60/195,878.70 = 51,659.40/x
  3. Step 3: Cross multiply
    130,542.60x = 195,878.70 × 51,659.40
  4. Step 4: Simplify right side
    130,542.60x = 10,118,976,114.78
  5. Step 5: Solve for x
    x = 10,118,976,114.78/130,542.60
  6. Step 6: Final answer
    x = 77,514.74

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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.