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Finding the Fourth Proportional to 153,287.30, 230,040.30 and 86,656.70

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Solution

The fourth proportional to 153,287.30, 230,040.30 and 86,656.70 is: 130,046.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,287.30 : 230,040.30 = 86,656.70 : x
  2. Step 2: Convert to fraction form
    153,287.30/230,040.30 = 86,656.70/x
  3. Step 3: Cross multiply
    153,287.30x = 230,040.30 × 86,656.70
  4. Step 4: Simplify right side
    153,287.30x = 19,934,533,265.01
  5. Step 5: Solve for x
    x = 19,934,533,265.01/153,287.30
  6. Step 6: Final answer
    x = 130,046.87

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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.