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Finding the Fourth Proportional to 101,753.78, 140,427.36 and 56,436.08

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Solution

The fourth proportional to 101,753.78, 140,427.36 and 56,436.08 is: 77,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,753.78 : 140,427.36 = 56,436.08 : x
  2. Step 2: Convert to fraction form
    101,753.78/140,427.36 = 56,436.08/x
  3. Step 3: Cross multiply
    101,753.78x = 140,427.36 × 56,436.08
  4. Step 4: Simplify right side
    101,753.78x = 7,925,169,021.01
  5. Step 5: Solve for x
    x = 7,925,169,021.01/101,753.78
  6. Step 6: Final answer
    x = 77,885.75

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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.