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Finding the Fourth Proportional to 130,584, 195,931.43 and 71,350.47

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Solution

The fourth proportional to 130,584, 195,931.43 and 71,350.47 is: 107,055.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,584 : 195,931.43 = 71,350.47 : x
  2. Step 2: Convert to fraction form
    130,584/195,931.43 = 71,350.47/x
  3. Step 3: Cross multiply
    130,584x = 195,931.43 × 71,350.47
  4. Step 4: Simplify right side
    130,584x = 13,979,799,261.52
  5. Step 5: Solve for x
    x = 13,979,799,261.52/130,584
  6. Step 6: Final answer
    x = 107,055.99

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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.