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Finding the Fourth Proportional to 51,065, 70,469.70 and 29,862.08

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Solution

The fourth proportional to 51,065, 70,469.70 and 29,862.08 is: 41,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,065 : 70,469.70 = 29,862.08 : x
  2. Step 2: Convert to fraction form
    51,065/70,469.70 = 29,862.08/x
  3. Step 3: Cross multiply
    51,065x = 70,469.70 × 29,862.08
  4. Step 4: Simplify right side
    51,065x = 2,104,371,818.98
  5. Step 5: Solve for x
    x = 2,104,371,818.98/51,065
  6. Step 6: Final answer
    x = 41,209.67

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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.