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Finding the Fourth Proportional to 85,092, 127,696.32 and 29,688

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Solution

The fourth proportional to 85,092, 127,696.32 and 29,688 is: 44,552.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,092 : 127,696.32 = 29,688 : x
  2. Step 2: Convert to fraction form
    85,092/127,696.32 = 29,688/x
  3. Step 3: Cross multiply
    85,092x = 127,696.32 × 29,688
  4. Step 4: Simplify right side
    85,092x = 3,791,048,348.16
  5. Step 5: Solve for x
    x = 3,791,048,348.16/85,092
  6. Step 6: Final answer
    x = 44,552.35

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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.