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Finding the Fourth Proportional to 101,695.52, 140,340 and 56,374.20

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Solution

The fourth proportional to 101,695.52, 140,340 and 56,374.20 is: 77,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,695.52 : 140,340 = 56,374.20 : x
  2. Step 2: Convert to fraction form
    101,695.52/140,340 = 56,374.20/x
  3. Step 3: Cross multiply
    101,695.52x = 140,340 × 56,374.20
  4. Step 4: Simplify right side
    101,695.52x = 7,911,555,228
  5. Step 5: Solve for x
    x = 7,911,555,228/101,695.52
  6. Step 6: Final answer
    x = 77,796.50

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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.