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Finding the Fourth Proportional to 85,509.56, 118,036.49 and 76,541.54

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Solution

The fourth proportional to 85,509.56, 118,036.49 and 76,541.54 is: 105,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,509.56 : 118,036.49 = 76,541.54 : x
  2. Step 2: Convert to fraction form
    85,509.56/118,036.49 = 76,541.54/x
  3. Step 3: Cross multiply
    85,509.56x = 118,036.49 × 76,541.54
  4. Step 4: Simplify right side
    85,509.56x = 9,034,693,747.90
  5. Step 5: Solve for x
    x = 9,034,693,747.90/85,509.56
  6. Step 6: Final answer
    x = 105,657.13

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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.