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Finding the Fourth Proportional to 123,564, 185,347.62 and 40,458

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Solution

The fourth proportional to 123,564, 185,347.62 and 40,458 is: 60,687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,564 : 185,347.62 = 40,458 : x
  2. Step 2: Convert to fraction form
    123,564/185,347.62 = 40,458/x
  3. Step 3: Cross multiply
    123,564x = 185,347.62 × 40,458
  4. Step 4: Simplify right side
    123,564x = 7,498,794,009.96
  5. Step 5: Solve for x
    x = 7,498,794,009.96/123,564
  6. Step 6: Final answer
    x = 60,687.53

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