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Finding the Fourth Proportional to 70,407.81, 97,163.78 and 42,108.03

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Solution

The fourth proportional to 70,407.81, 97,163.78 and 42,108.03 is: 58,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,407.81 : 97,163.78 = 42,108.03 : x
  2. Step 2: Convert to fraction form
    70,407.81/97,163.78 = 42,108.03/x
  3. Step 3: Cross multiply
    70,407.81x = 97,163.78 × 42,108.03
  4. Step 4: Simplify right side
    70,407.81x = 4,091,375,363.15
  5. Step 5: Solve for x
    x = 4,091,375,363.15/70,407.81
  6. Step 6: Final answer
    x = 58,109.68

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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.