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Finding the Fourth Proportional to 292,134.48, 438,212.64 and 81,766.92

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Solution

The fourth proportional to 292,134.48, 438,212.64 and 81,766.92 is: 122,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,134.48 : 438,212.64 = 81,766.92 : x
  2. Step 2: Convert to fraction form
    292,134.48/438,212.64 = 81,766.92/x
  3. Step 3: Cross multiply
    292,134.48x = 438,212.64 × 81,766.92
  4. Step 4: Simplify right side
    292,134.48x = 35,831,297,877.87
  5. Step 5: Solve for x
    x = 35,831,297,877.87/292,134.48
  6. Step 6: Final answer
    x = 122,653.44

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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.