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Finding the Fourth Proportional to 155,179.82, 232,765.11 and 42,866.78

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Solution

The fourth proportional to 155,179.82, 232,765.11 and 42,866.78 is: 64,298.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,179.82 : 232,765.11 = 42,866.78 : x
  2. Step 2: Convert to fraction form
    155,179.82/232,765.11 = 42,866.78/x
  3. Step 3: Cross multiply
    155,179.82x = 232,765.11 × 42,866.78
  4. Step 4: Simplify right side
    155,179.82x = 9,977,889,598.22
  5. Step 5: Solve for x
    x = 9,977,889,598.22/155,179.82
  6. Step 6: Final answer
    x = 64,298.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.