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Finding the Fourth Proportional to 70,681.16, 97,540.74 and 38,415.78

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Solution

The fourth proportional to 70,681.16, 97,540.74 and 38,415.78 is: 53,014.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,681.16 : 97,540.74 = 38,415.78 : x
  2. Step 2: Convert to fraction form
    70,681.16/97,540.74 = 38,415.78/x
  3. Step 3: Cross multiply
    70,681.16x = 97,540.74 × 38,415.78
  4. Step 4: Simplify right side
    70,681.16x = 3,747,103,608.88
  5. Step 5: Solve for x
    x = 3,747,103,608.88/70,681.16
  6. Step 6: Final answer
    x = 53,014.18

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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.