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Finding the Fourth Proportional to 105,226, 145,216.20 and 60,514

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Solution

The fourth proportional to 105,226, 145,216.20 and 60,514 is: 83,511.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,226 : 145,216.20 = 60,514 : x
  2. Step 2: Convert to fraction form
    105,226/145,216.20 = 60,514/x
  3. Step 3: Cross multiply
    105,226x = 145,216.20 × 60,514
  4. Step 4: Simplify right side
    105,226x = 8,787,613,126.80
  5. Step 5: Solve for x
    x = 8,787,613,126.80/105,226
  6. Step 6: Final answer
    x = 83,511.80

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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.