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Finding the Fourth Proportional to 51,404.62, 70,911 and 31,267.66

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Solution

The fourth proportional to 51,404.62, 70,911 and 31,267.66 is: 43,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,404.62 : 70,911 = 31,267.66 : x
  2. Step 2: Convert to fraction form
    51,404.62/70,911 = 31,267.66/x
  3. Step 3: Cross multiply
    51,404.62x = 70,911 × 31,267.66
  4. Step 4: Simplify right side
    51,404.62x = 2,217,221,038.26
  5. Step 5: Solve for x
    x = 2,217,221,038.26/51,404.62
  6. Step 6: Final answer
    x = 43,132.72

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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.