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Finding the Fourth Proportional to 137,937.69, 190,371.60 and 84,211.20

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Solution

The fourth proportional to 137,937.69, 190,371.60 and 84,211.20 is: 116,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,937.69 : 190,371.60 = 84,211.20 : x
  2. Step 2: Convert to fraction form
    137,937.69/190,371.60 = 84,211.20/x
  3. Step 3: Cross multiply
    137,937.69x = 190,371.60 × 84,211.20
  4. Step 4: Simplify right side
    137,937.69x = 16,031,420,881.92
  5. Step 5: Solve for x
    x = 16,031,420,881.92/137,937.69
  6. Step 6: Final answer
    x = 116,222.19

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1.5x scale

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.