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Finding the Fourth Proportional to 99,809.66, 137,765.13 and 57,381.86

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Solution

The fourth proportional to 99,809.66, 137,765.13 and 57,381.86 is: 79,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,809.66 : 137,765.13 = 57,381.86 : x
  2. Step 2: Convert to fraction form
    99,809.66/137,765.13 = 57,381.86/x
  3. Step 3: Cross multiply
    99,809.66x = 137,765.13 × 57,381.86
  4. Step 4: Simplify right side
    99,809.66x = 7,905,219,402.54
  5. Step 5: Solve for x
    x = 7,905,219,402.54/99,809.66
  6. Step 6: Final answer
    x = 79,202.95

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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.