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Finding the Fourth Proportional to 106,585, 147,101.88 and 61,873

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Solution

The fourth proportional to 106,585, 147,101.88 and 61,873 is: 85,393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,585 : 147,101.88 = 61,873 : x
  2. Step 2: Convert to fraction form
    106,585/147,101.88 = 61,873/x
  3. Step 3: Cross multiply
    106,585x = 147,101.88 × 61,873
  4. Step 4: Simplify right side
    106,585x = 9,101,634,621.24
  5. Step 5: Solve for x
    x = 9,101,634,621.24/106,585
  6. Step 6: Final answer
    x = 85,393.20

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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.