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Finding the Fourth Proportional to 85,294.32, 127,964.64 and 26,128.68

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Solution

The fourth proportional to 85,294.32, 127,964.64 and 26,128.68 is: 39,200.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,294.32 : 127,964.64 = 26,128.68 : x
  2. Step 2: Convert to fraction form
    85,294.32/127,964.64 = 26,128.68/x
  3. Step 3: Cross multiply
    85,294.32x = 127,964.64 × 26,128.68
  4. Step 4: Simplify right side
    85,294.32x = 3,343,547,129.88
  5. Step 5: Solve for x
    x = 3,343,547,129.88/85,294.32
  6. Step 6: Final answer
    x = 39,200.11

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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.