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Finding the Fourth Proportional to 85,712.78, 118,269.57 and 53,859.13

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Solution

The fourth proportional to 85,712.78, 118,269.57 and 53,859.13 is: 74,316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,712.78 : 118,269.57 = 53,859.13 : x
  2. Step 2: Convert to fraction form
    85,712.78/118,269.57 = 53,859.13/x
  3. Step 3: Cross multiply
    85,712.78x = 118,269.57 × 53,859.13
  4. Step 4: Simplify right side
    85,712.78x = 6,369,896,145.67
  5. Step 5: Solve for x
    x = 6,369,896,145.67/85,712.78
  6. Step 6: Final answer
    x = 74,316.76

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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.