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Finding the Fourth Proportional to 140,043, 193,420.56 and 101,972.76

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Solution

The fourth proportional to 140,043, 193,420.56 and 101,972.76 is: 140,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,043 : 193,420.56 = 101,972.76 : x
  2. Step 2: Convert to fraction form
    140,043/193,420.56 = 101,972.76/x
  3. Step 3: Cross multiply
    140,043x = 193,420.56 × 101,972.76
  4. Step 4: Simplify right side
    140,043x = 19,723,628,343.95
  5. Step 5: Solve for x
    x = 19,723,628,343.95/140,043
  6. Step 6: Final answer
    x = 140,839.80

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1.5x scale

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.