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Finding the Fourth Proportional to 101,937.78, 140,672.34 and 56,614.02

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Solution

The fourth proportional to 101,937.78, 140,672.34 and 56,614.02 is: 78,126.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,937.78 : 140,672.34 = 56,614.02 : x
  2. Step 2: Convert to fraction form
    101,937.78/140,672.34 = 56,614.02/x
  3. Step 3: Cross multiply
    101,937.78x = 140,672.34 × 56,614.02
  4. Step 4: Simplify right side
    101,937.78x = 7,964,026,670.21
  5. Step 5: Solve for x
    x = 7,964,026,670.21/101,937.78
  6. Step 6: Final answer
    x = 78,126.35

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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.