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Finding the Fourth Proportional to 228,139.11, 314,753.99 and 137,460.96

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Solution

The fourth proportional to 228,139.11, 314,753.99 and 137,460.96 is: 189,649.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,139.11 : 314,753.99 = 137,460.96 : x
  2. Step 2: Convert to fraction form
    228,139.11/314,753.99 = 137,460.96/x
  3. Step 3: Cross multiply
    228,139.11x = 314,753.99 × 137,460.96
  4. Step 4: Simplify right side
    228,139.11x = 43,266,384,941.93
  5. Step 5: Solve for x
    x = 43,266,384,941.93/228,139.11
  6. Step 6: Final answer
    x = 189,649.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.