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Finding the Fourth Proportional to 84,825.94, 127,243.28 and 21,646.62

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Solution

The fourth proportional to 84,825.94, 127,243.28 and 21,646.62 is: 32,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,825.94 : 127,243.28 = 21,646.62 : x
  2. Step 2: Convert to fraction form
    84,825.94/127,243.28 = 21,646.62/x
  3. Step 3: Cross multiply
    84,825.94x = 127,243.28 × 21,646.62
  4. Step 4: Simplify right side
    84,825.94x = 2,754,386,929.71
  5. Step 5: Solve for x
    x = 2,754,386,929.71/84,825.94
  6. Step 6: Final answer
    x = 32,471.05

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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.