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Finding the Fourth Proportional to 97,877.20, 137,212.40 and 97,877.20

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Solution

The fourth proportional to 97,877.20, 137,212.40 and 97,877.20 is: 137,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,877.20 : 137,212.40 = 97,877.20 : x
  2. Step 2: Convert to fraction form
    97,877.20/137,212.40 = 97,877.20/x
  3. Step 3: Cross multiply
    97,877.20x = 137,212.40 × 97,877.20
  4. Step 4: Simplify right side
    97,877.20x = 13,429,965,517.28
  5. Step 5: Solve for x
    x = 13,429,965,517.28/97,877.20
  6. Step 6: Final answer
    x = 137,212.40

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1.5x scale

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.