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Finding the Fourth Proportional to 187,090, 280,460.04 and 68,729.56

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Solution

The fourth proportional to 187,090, 280,460.04 and 68,729.56 is: 103,030.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,090 : 280,460.04 = 68,729.56 : x
  2. Step 2: Convert to fraction form
    187,090/280,460.04 = 68,729.56/x
  3. Step 3: Cross multiply
    187,090x = 280,460.04 × 68,729.56
  4. Step 4: Simplify right side
    187,090x = 19,275,895,146.78
  5. Step 5: Solve for x
    x = 19,275,895,146.78/187,090
  6. Step 6: Final answer
    x = 103,030.07

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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.