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Finding the Fourth Proportional to 124,028, 186,041.31 and 45,142.23

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Solution

The fourth proportional to 124,028, 186,041.31 and 45,142.23 is: 67,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,028 : 186,041.31 = 45,142.23 : x
  2. Step 2: Convert to fraction form
    124,028/186,041.31 = 45,142.23/x
  3. Step 3: Cross multiply
    124,028x = 186,041.31 × 45,142.23
  4. Step 4: Simplify right side
    124,028x = 8,398,319,605.52
  5. Step 5: Solve for x
    x = 8,398,319,605.52/124,028
  6. Step 6: Final answer
    x = 67,713.09

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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.