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Finding the Fourth Proportional to 153,084, 211,182.31 and 99,385.86

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Solution

The fourth proportional to 153,084, 211,182.31 and 99,385.86 is: 137,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,084 : 211,182.31 = 99,385.86 : x
  2. Step 2: Convert to fraction form
    153,084/211,182.31 = 99,385.86/x
  3. Step 3: Cross multiply
    153,084x = 211,182.31 × 99,385.86
  4. Step 4: Simplify right side
    153,084x = 20,988,535,496.14
  5. Step 5: Solve for x
    x = 20,988,535,496.14/153,084
  6. Step 6: Final answer
    x = 137,104.70

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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.