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Finding the Fourth Proportional to 123,653.64, 185,494.06 and 39,394.20

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Solution

The fourth proportional to 123,653.64, 185,494.06 and 39,394.20 is: 59,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,653.64 : 185,494.06 = 39,394.20 : x
  2. Step 2: Convert to fraction form
    123,653.64/185,494.06 = 39,394.20/x
  3. Step 3: Cross multiply
    123,653.64x = 185,494.06 × 39,394.20
  4. Step 4: Simplify right side
    123,653.64x = 7,307,390,098.45
  5. Step 5: Solve for x
    x = 7,307,390,098.45/123,653.64
  6. Step 6: Final answer
    x = 59,095.63

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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.