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Finding the Fourth Proportional to 70,338.90, 97,067.82 and 38,509.82

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Solution

The fourth proportional to 70,338.90, 97,067.82 and 38,509.82 is: 53,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,338.90 : 97,067.82 = 38,509.82 : x
  2. Step 2: Convert to fraction form
    70,338.90/97,067.82 = 38,509.82/x
  3. Step 3: Cross multiply
    70,338.90x = 97,067.82 × 38,509.82
  4. Step 4: Simplify right side
    70,338.90x = 3,738,064,275.99
  5. Step 5: Solve for x
    x = 3,738,064,275.99/70,338.90
  6. Step 6: Final answer
    x = 53,143.63

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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.