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Finding the Fourth Proportional to 70,344, 97,077.20 and 38,513.16

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Solution

The fourth proportional to 70,344, 97,077.20 and 38,513.16 is: 53,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,344 : 97,077.20 = 38,513.16 : x
  2. Step 2: Convert to fraction form
    70,344/97,077.20 = 38,513.16/x
  3. Step 3: Cross multiply
    70,344x = 97,077.20 × 38,513.16
  4. Step 4: Simplify right side
    70,344x = 3,738,749,543.39
  5. Step 5: Solve for x
    x = 3,738,749,543.39/70,344
  6. Step 6: Final answer
    x = 53,149.52

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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.