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Finding the Fourth Proportional to 282,086.16, 423,168.75 and 82,421.16

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Solution

The fourth proportional to 282,086.16, 423,168.75 and 82,421.16 is: 123,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,086.16 : 423,168.75 = 82,421.16 : x
  2. Step 2: Convert to fraction form
    282,086.16/423,168.75 = 82,421.16/x
  3. Step 3: Cross multiply
    282,086.16x = 423,168.75 × 82,421.16
  4. Step 4: Simplify right side
    282,086.16x = 34,878,059,250.75
  5. Step 5: Solve for x
    x = 34,878,059,250.75/282,086.16
  6. Step 6: Final answer
    x = 123,643.28

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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.