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Finding the Fourth Proportional to 153,306.34, 211,569.71 and 85,327.66

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Solution

The fourth proportional to 153,306.34, 211,569.71 and 85,327.66 is: 117,756.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,306.34 : 211,569.71 = 85,327.66 : x
  2. Step 2: Convert to fraction form
    153,306.34/211,569.71 = 85,327.66/x
  3. Step 3: Cross multiply
    153,306.34x = 211,569.71 × 85,327.66
  4. Step 4: Simplify right side
    153,306.34x = 18,052,747,498.27
  5. Step 5: Solve for x
    x = 18,052,747,498.27/153,306.34
  6. Step 6: Final answer
    x = 117,756.04

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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.