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Finding the Fourth Proportional to 103,270, 142,514.16 and 60,248.32

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Solution

The fourth proportional to 103,270, 142,514.16 and 60,248.32 is: 83,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,270 : 142,514.16 = 60,248.32 : x
  2. Step 2: Convert to fraction form
    103,270/142,514.16 = 60,248.32/x
  3. Step 3: Cross multiply
    103,270x = 142,514.16 × 60,248.32
  4. Step 4: Simplify right side
    103,270x = 8,586,238,716.21
  5. Step 5: Solve for x
    x = 8,586,238,716.21/103,270
  6. Step 6: Final answer
    x = 83,143.59

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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.