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Finding the Fourth Proportional to 101,756.98, 140,433.05 and 56,449.57

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Solution

The fourth proportional to 101,756.98, 140,433.05 and 56,449.57 is: 77,905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,756.98 : 140,433.05 = 56,449.57 : x
  2. Step 2: Convert to fraction form
    101,756.98/140,433.05 = 56,449.57/x
  3. Step 3: Cross multiply
    101,756.98x = 140,433.05 × 56,449.57
  4. Step 4: Simplify right side
    101,756.98x = 7,927,385,286.29
  5. Step 5: Solve for x
    x = 7,927,385,286.29/101,756.98
  6. Step 6: Final answer
    x = 77,905.08

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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.