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Finding the Fourth Proportional to 292,319.85, 438,507.65 and 81,957.18

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Solution

The fourth proportional to 292,319.85, 438,507.65 and 81,957.18 is: 122,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,319.85 : 438,507.65 = 81,957.18 : x
  2. Step 2: Convert to fraction form
    292,319.85/438,507.65 = 81,957.18/x
  3. Step 3: Cross multiply
    292,319.85x = 438,507.65 × 81,957.18
  4. Step 4: Simplify right side
    292,319.85x = 35,938,850,402.43
  5. Step 5: Solve for x
    x = 35,938,850,402.43/292,319.85
  6. Step 6: Final answer
    x = 122,943.59

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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.