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Finding the Fourth Proportional to 78,085.81, 117,133.85 and 31,332.61

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Solution

The fourth proportional to 78,085.81, 117,133.85 and 31,332.61 is: 47,000.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,085.81 : 117,133.85 = 31,332.61 : x
  2. Step 2: Convert to fraction form
    78,085.81/117,133.85 = 31,332.61/x
  3. Step 3: Cross multiply
    78,085.81x = 117,133.85 × 31,332.61
  4. Step 4: Simplify right side
    78,085.81x = 3,670,109,083.19
  5. Step 5: Solve for x
    x = 3,670,109,083.19/78,085.81
  6. Step 6: Final answer
    x = 47,000.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.