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Finding the Fourth Proportional to 292,008.57, 438,013.26 and 81,646.32

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Solution

The fourth proportional to 292,008.57, 438,013.26 and 81,646.32 is: 122,469.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,008.57 : 438,013.26 = 81,646.32 : x
  2. Step 2: Convert to fraction form
    292,008.57/438,013.26 = 81,646.32/x
  3. Step 3: Cross multiply
    292,008.57x = 438,013.26 × 81,646.32
  4. Step 4: Simplify right side
    292,008.57x = 35,762,170,790.20
  5. Step 5: Solve for x
    x = 35,762,170,790.20/292,008.57
  6. Step 6: Final answer
    x = 122,469.59

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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.