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Finding the Fourth Proportional to 81,407.20, 122,110.80 and 57,787.60

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Solution

The fourth proportional to 81,407.20, 122,110.80 and 57,787.60 is: 86,681.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,407.20 : 122,110.80 = 57,787.60 : x
  2. Step 2: Convert to fraction form
    81,407.20/122,110.80 = 57,787.60/x
  3. Step 3: Cross multiply
    81,407.20x = 122,110.80 × 57,787.60
  4. Step 4: Simplify right side
    81,407.20x = 7,056,490,066.08
  5. Step 5: Solve for x
    x = 7,056,490,066.08/81,407.20
  6. Step 6: Final answer
    x = 86,681.40

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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.