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Finding the Fourth Proportional to 158,902.80, 219,287.28 and 87,284.28

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Solution

The fourth proportional to 158,902.80, 219,287.28 and 87,284.28 is: 120,453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,902.80 : 219,287.28 = 87,284.28 : x
  2. Step 2: Convert to fraction form
    158,902.80/219,287.28 = 87,284.28/x
  3. Step 3: Cross multiply
    158,902.80x = 219,287.28 × 87,284.28
  4. Step 4: Simplify right side
    158,902.80x = 19,140,332,347.96
  5. Step 5: Solve for x
    x = 19,140,332,347.96/158,902.80
  6. Step 6: Final answer
    x = 120,453.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.