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Finding the Fourth Proportional to 101,961.98, 140,730.02 and 56,655.53

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Solution

The fourth proportional to 101,961.98, 140,730.02 and 56,655.53 is: 78,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,961.98 : 140,730.02 = 56,655.53 : x
  2. Step 2: Convert to fraction form
    101,961.98/140,730.02 = 56,655.53/x
  3. Step 3: Cross multiply
    101,961.98x = 140,730.02 × 56,655.53
  4. Step 4: Simplify right side
    101,961.98x = 7,973,132,883.08
  5. Step 5: Solve for x
    x = 7,973,132,883.08/101,961.98
  6. Step 6: Final answer
    x = 78,197.12

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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.