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Finding the Fourth Proportional to 70,781.58, 97,678.52 and 38,950.48

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Solution

The fourth proportional to 70,781.58, 97,678.52 and 38,950.48 is: 53,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,781.58 : 97,678.52 = 38,950.48 : x
  2. Step 2: Convert to fraction form
    70,781.58/97,678.52 = 38,950.48/x
  3. Step 3: Cross multiply
    70,781.58x = 97,678.52 × 38,950.48
  4. Step 4: Simplify right side
    70,781.58x = 3,804,625,239.69
  5. Step 5: Solve for x
    x = 3,804,625,239.69/70,781.58
  6. Step 6: Final answer
    x = 53,751.63

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1.5x scale

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.