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Finding the Fourth Proportional to 112,765.94, 155,617.01 and 61,780.49

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Solution

The fourth proportional to 112,765.94, 155,617.01 and 61,780.49 is: 85,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,765.94 : 155,617.01 = 61,780.49 : x
  2. Step 2: Convert to fraction form
    112,765.94/155,617.01 = 61,780.49/x
  3. Step 3: Cross multiply
    112,765.94x = 155,617.01 × 61,780.49
  4. Step 4: Simplify right side
    112,765.94x = 9,614,094,043.15
  5. Step 5: Solve for x
    x = 9,614,094,043.15/112,765.94
  6. Step 6: Final answer
    x = 85,257.08

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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.