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Finding the Fourth Proportional to 158,830.32, 219,184.32 and 87,209.71

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Solution

The fourth proportional to 158,830.32, 219,184.32 and 87,209.71 is: 120,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,830.32 : 219,184.32 = 87,209.71 : x
  2. Step 2: Convert to fraction form
    158,830.32/219,184.32 = 87,209.71/x
  3. Step 3: Cross multiply
    158,830.32x = 219,184.32 × 87,209.71
  4. Step 4: Simplify right side
    158,830.32x = 19,115,000,983.75
  5. Step 5: Solve for x
    x = 19,115,000,983.75/158,830.32
  6. Step 6: Final answer
    x = 120,348.56

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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.