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Finding the Fourth Proportional to 130,010.80, 194,627.40 and 77,393.20

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Solution

The fourth proportional to 130,010.80, 194,627.40 and 77,393.20 is: 115,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,010.80 : 194,627.40 = 77,393.20 : x
  2. Step 2: Convert to fraction form
    130,010.80/194,627.40 = 77,393.20/x
  3. Step 3: Cross multiply
    130,010.80x = 194,627.40 × 77,393.20
  4. Step 4: Simplify right side
    130,010.80x = 15,062,837,293.68
  5. Step 5: Solve for x
    x = 15,062,837,293.68/130,010.80
  6. Step 6: Final answer
    x = 115,858.35

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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.