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Finding the Fourth Proportional to 130,061.80, 195,092.70 and 51,178.60

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Solution

The fourth proportional to 130,061.80, 195,092.70 and 51,178.60 is: 76,767.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,061.80 : 195,092.70 = 51,178.60 : x
  2. Step 2: Convert to fraction form
    130,061.80/195,092.70 = 51,178.60/x
  3. Step 3: Cross multiply
    130,061.80x = 195,092.70 × 51,178.60
  4. Step 4: Simplify right side
    130,061.80x = 9,984,571,256.22
  5. Step 5: Solve for x
    x = 9,984,571,256.22/130,061.80
  6. Step 6: Final answer
    x = 76,767.90

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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.