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Finding the Fourth Proportional to 292,077.90, 438,189.75 and 81,714.02

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Solution

The fourth proportional to 292,077.90, 438,189.75 and 81,714.02 is: 122,591.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,077.90 : 438,189.75 = 81,714.02 : x
  2. Step 2: Convert to fraction form
    292,077.90/438,189.75 = 81,714.02/x
  3. Step 3: Cross multiply
    292,077.90x = 438,189.75 × 81,714.02
  4. Step 4: Simplify right side
    292,077.90x = 35,806,243,804.35
  5. Step 5: Solve for x
    x = 35,806,243,804.35/292,077.90
  6. Step 6: Final answer
    x = 122,591.42

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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.