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Finding the Fourth Proportional to 130,274.88, 195,412.31 and 31,778.88

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Solution

The fourth proportional to 130,274.88, 195,412.31 and 31,778.88 is: 47,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,274.88 : 195,412.31 = 31,778.88 : x
  2. Step 2: Convert to fraction form
    130,274.88/195,412.31 = 31,778.88/x
  3. Step 3: Cross multiply
    130,274.88x = 195,412.31 × 31,778.88
  4. Step 4: Simplify right side
    130,274.88x = 6,209,984,350.01
  5. Step 5: Solve for x
    x = 6,209,984,350.01/130,274.88
  6. Step 6: Final answer
    x = 47,668.32

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1.5x scale

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.