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Finding the Fourth Proportional to 81,065, 121,497.66 and 57,564.20

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Solution

The fourth proportional to 81,065, 121,497.66 and 57,564.20 is: 86,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,065 : 121,497.66 = 57,564.20 : x
  2. Step 2: Convert to fraction form
    81,065/121,497.66 = 57,564.20/x
  3. Step 3: Cross multiply
    81,065x = 121,497.66 × 57,564.20
  4. Step 4: Simplify right side
    81,065x = 6,993,915,599.77
  5. Step 5: Solve for x
    x = 6,993,915,599.77/81,065
  6. Step 6: Final answer
    x = 86,275.40

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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.