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Finding the Fourth Proportional to 70,914.72, 97,862.34 and 38,649.12

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Solution

The fourth proportional to 70,914.72, 97,862.34 and 38,649.12 is: 53,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,914.72 : 97,862.34 = 38,649.12 : x
  2. Step 2: Convert to fraction form
    70,914.72/97,862.34 = 38,649.12/x
  3. Step 3: Cross multiply
    70,914.72x = 97,862.34 × 38,649.12
  4. Step 4: Simplify right side
    70,914.72x = 3,782,293,322.14
  5. Step 5: Solve for x
    x = 3,782,293,322.14/70,914.72
  6. Step 6: Final answer
    x = 53,335.80

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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.