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Finding the Fourth Proportional to 70,913.40, 97,859.23 and 38,648.31

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Solution

The fourth proportional to 70,913.40, 97,859.23 and 38,648.31 is: 53,333.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,913.40 : 97,859.23 = 38,648.31 : x
  2. Step 2: Convert to fraction form
    70,913.40/97,859.23 = 38,648.31/x
  3. Step 3: Cross multiply
    70,913.40x = 97,859.23 × 38,648.31
  4. Step 4: Simplify right side
    70,913.40x = 3,782,093,760.78
  5. Step 5: Solve for x
    x = 3,782,093,760.78/70,913.40
  6. Step 6: Final answer
    x = 53,333.98

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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.