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Finding the Fourth Proportional to 140,872.67, 194,403.19 and 77,210.31

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Solution

The fourth proportional to 140,872.67, 194,403.19 and 77,210.31 is: 106,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,872.67 : 194,403.19 = 77,210.31 : x
  2. Step 2: Convert to fraction form
    140,872.67/194,403.19 = 77,210.31/x
  3. Step 3: Cross multiply
    140,872.67x = 194,403.19 × 77,210.31
  4. Step 4: Simplify right side
    140,872.67x = 15,009,931,245.64
  5. Step 5: Solve for x
    x = 15,009,931,245.64/140,872.67
  6. Step 6: Final answer
    x = 106,549.63

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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.