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Finding the Fourth Proportional to 51,091.40, 70,506 and 29,866.40

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Solution

The fourth proportional to 51,091.40, 70,506 and 29,866.40 is: 41,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,091.40 : 70,506 = 29,866.40 : x
  2. Step 2: Convert to fraction form
    51,091.40/70,506 = 29,866.40/x
  3. Step 3: Cross multiply
    51,091.40x = 70,506 × 29,866.40
  4. Step 4: Simplify right side
    51,091.40x = 2,105,760,398.40
  5. Step 5: Solve for x
    x = 2,105,760,398.40/51,091.40
  6. Step 6: Final answer
    x = 41,215.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.