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Finding the Fourth Proportional to 158,329.46, 218,494.98 and 85,733.15

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Solution

The fourth proportional to 158,329.46, 218,494.98 and 85,733.15 is: 118,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,329.46 : 218,494.98 = 85,733.15 : x
  2. Step 2: Convert to fraction form
    158,329.46/218,494.98 = 85,733.15/x
  3. Step 3: Cross multiply
    158,329.46x = 218,494.98 × 85,733.15
  4. Step 4: Simplify right side
    158,329.46x = 18,732,261,802.11
  5. Step 5: Solve for x
    x = 18,732,261,802.11/158,329.46
  6. Step 6: Final answer
    x = 118,311.92

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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.