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Finding the Fourth Proportional to 123,528, 185,293.62 and 40,422

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Solution

The fourth proportional to 123,528, 185,293.62 and 40,422 is: 60,633.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,528 : 185,293.62 = 40,422 : x
  2. Step 2: Convert to fraction form
    123,528/185,293.62 = 40,422/x
  3. Step 3: Cross multiply
    123,528x = 185,293.62 × 40,422
  4. Step 4: Simplify right side
    123,528x = 7,489,938,707.64
  5. Step 5: Solve for x
    x = 7,489,938,707.64/123,528
  6. Step 6: Final answer
    x = 60,633.53

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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.