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Finding the Fourth Proportional to 152,978.10, 211,079.97 and 89,318.58

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Solution

The fourth proportional to 152,978.10, 211,079.97 and 89,318.58 is: 123,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,978.10 : 211,079.97 = 89,318.58 : x
  2. Step 2: Convert to fraction form
    152,978.10/211,079.97 = 89,318.58/x
  3. Step 3: Cross multiply
    152,978.10x = 211,079.97 × 89,318.58
  4. Step 4: Simplify right side
    152,978.10x = 18,853,363,186.84
  5. Step 5: Solve for x
    x = 18,853,363,186.84/152,978.10
  6. Step 6: Final answer
    x = 123,242.24

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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.