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Finding the Fourth Proportional to 85,271.84, 127,888.32 and 22,947.20

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Solution

The fourth proportional to 85,271.84, 127,888.32 and 22,947.20 is: 34,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,271.84 : 127,888.32 = 22,947.20 : x
  2. Step 2: Convert to fraction form
    85,271.84/127,888.32 = 22,947.20/x
  3. Step 3: Cross multiply
    85,271.84x = 127,888.32 × 22,947.20
  4. Step 4: Simplify right side
    85,271.84x = 2,934,678,856.70
  5. Step 5: Solve for x
    x = 2,934,678,856.70/85,271.84
  6. Step 6: Final answer
    x = 34,415.57

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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.