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Finding the Fourth Proportional to 97,871.40, 137,331 and 97,871.40

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Solution

The fourth proportional to 97,871.40, 137,331 and 97,871.40 is: 137,331

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,871.40 : 137,331 = 97,871.40 : x
  2. Step 2: Convert to fraction form
    97,871.40/137,331 = 97,871.40/x
  3. Step 3: Cross multiply
    97,871.40x = 137,331 × 97,871.40
  4. Step 4: Simplify right side
    97,871.40x = 13,440,777,233.40
  5. Step 5: Solve for x
    x = 13,440,777,233.40/97,871.40
  6. Step 6: Final answer
    x = 137,331

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.