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Finding the Fourth Proportional to 153,412.64, 211,711.02 and 89,738

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Solution

The fourth proportional to 153,412.64, 211,711.02 and 89,738 is: 123,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,412.64 : 211,711.02 = 89,738 : x
  2. Step 2: Convert to fraction form
    153,412.64/211,711.02 = 89,738/x
  3. Step 3: Cross multiply
    153,412.64x = 211,711.02 × 89,738
  4. Step 4: Simplify right side
    153,412.64x = 18,998,523,512.76
  5. Step 5: Solve for x
    x = 18,998,523,512.76/153,412.64
  6. Step 6: Final answer
    x = 123,839.36

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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.