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Finding the Fourth Proportional to 112,770.64, 155,621.59 and 61,782.90

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Solution

The fourth proportional to 112,770.64, 155,621.59 and 61,782.90 is: 85,259.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,770.64 : 155,621.59 = 61,782.90 : x
  2. Step 2: Convert to fraction form
    112,770.64/155,621.59 = 61,782.90/x
  3. Step 3: Cross multiply
    112,770.64x = 155,621.59 × 61,782.90
  4. Step 4: Simplify right side
    112,770.64x = 9,614,753,132.81
  5. Step 5: Solve for x
    x = 9,614,753,132.81/112,770.64
  6. Step 6: Final answer
    x = 85,259.36

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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.