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Finding the Fourth Proportional to 82,854.40, 114,362.40 and 74,689.60

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Solution

The fourth proportional to 82,854.40, 114,362.40 and 74,689.60 is: 103,092.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,854.40 : 114,362.40 = 74,689.60 : x
  2. Step 2: Convert to fraction form
    82,854.40/114,362.40 = 74,689.60/x
  3. Step 3: Cross multiply
    82,854.40x = 114,362.40 × 74,689.60
  4. Step 4: Simplify right side
    82,854.40x = 8,541,681,911.04
  5. Step 5: Solve for x
    x = 8,541,681,911.04/82,854.40
  6. Step 6: Final answer
    x = 103,092.68

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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.