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Finding the Fourth Proportional to 85,830.78, 128,721.56 and 25,865.06

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Solution

The fourth proportional to 85,830.78, 128,721.56 and 25,865.06 is: 38,790.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,830.78 : 128,721.56 = 25,865.06 : x
  2. Step 2: Convert to fraction form
    85,830.78/128,721.56 = 25,865.06/x
  3. Step 3: Cross multiply
    85,830.78x = 128,721.56 × 25,865.06
  4. Step 4: Simplify right side
    85,830.78x = 3,329,390,872.69
  5. Step 5: Solve for x
    x = 3,329,390,872.69/85,830.78
  6. Step 6: Final answer
    x = 38,790.17

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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.