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Finding the Fourth Proportional to 86,442.54, 129,663.84 and 27,284.20

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Solution

The fourth proportional to 86,442.54, 129,663.84 and 27,284.20 is: 40,926.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,442.54 : 129,663.84 = 27,284.20 : x
  2. Step 2: Convert to fraction form
    86,442.54/129,663.84 = 27,284.20/x
  3. Step 3: Cross multiply
    86,442.54x = 129,663.84 × 27,284.20
  4. Step 4: Simplify right side
    86,442.54x = 3,537,774,143.33
  5. Step 5: Solve for x
    x = 3,537,774,143.33/86,442.54
  6. Step 6: Final answer
    x = 40,926.31

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1.5x scale

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.