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Finding the Fourth Proportional to 85,206.84, 127,624 and 70,247.76

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Solution

The fourth proportional to 85,206.84, 127,624 and 70,247.76 is: 105,218.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,206.84 : 127,624 = 70,247.76 : x
  2. Step 2: Convert to fraction form
    85,206.84/127,624 = 70,247.76/x
  3. Step 3: Cross multiply
    85,206.84x = 127,624 × 70,247.76
  4. Step 4: Simplify right side
    85,206.84x = 8,965,300,122.24
  5. Step 5: Solve for x
    x = 8,965,300,122.24/85,206.84
  6. Step 6: Final answer
    x = 105,218.08

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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.