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Finding the Fourth Proportional to 81,534.88, 122,308.80 and 34,788.16

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Solution

The fourth proportional to 81,534.88, 122,308.80 and 34,788.16 is: 52,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,534.88 : 122,308.80 = 34,788.16 : x
  2. Step 2: Convert to fraction form
    81,534.88/122,308.80 = 34,788.16/x
  3. Step 3: Cross multiply
    81,534.88x = 122,308.80 × 34,788.16
  4. Step 4: Simplify right side
    81,534.88x = 4,254,898,103.81
  5. Step 5: Solve for x
    x = 4,254,898,103.81/81,534.88
  6. Step 6: Final answer
    x = 52,185.00

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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.