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Finding the Fourth Proportional to 83,610, 115,381.98 and 45,884.16

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Solution

The fourth proportional to 83,610, 115,381.98 and 45,884.16 is: 63,320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,610 : 115,381.98 = 45,884.16 : x
  2. Step 2: Convert to fraction form
    83,610/115,381.98 = 45,884.16/x
  3. Step 3: Cross multiply
    83,610x = 115,381.98 × 45,884.16
  4. Step 4: Simplify right side
    83,610x = 5,294,205,231.44
  5. Step 5: Solve for x
    x = 5,294,205,231.44/83,610
  6. Step 6: Final answer
    x = 63,320.24

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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.