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Finding the Fourth Proportional to 101,522.66, 140,036.28 and 81,427.77

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Solution

The fourth proportional to 101,522.66, 140,036.28 and 81,427.77 is: 112,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,522.66 : 140,036.28 = 81,427.77 : x
  2. Step 2: Convert to fraction form
    101,522.66/140,036.28 = 81,427.77/x
  3. Step 3: Cross multiply
    101,522.66x = 140,036.28 × 81,427.77
  4. Step 4: Simplify right side
    101,522.66x = 11,402,841,999.50
  5. Step 5: Solve for x
    x = 11,402,841,999.50/101,522.66
  6. Step 6: Final answer
    x = 112,318.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.