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Finding the Fourth Proportional to 137,951.76, 190,390.96 and 84,225.20

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Solution

The fourth proportional to 137,951.76, 190,390.96 and 84,225.20 is: 116,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,951.76 : 190,390.96 = 84,225.20 : x
  2. Step 2: Convert to fraction form
    137,951.76/190,390.96 = 84,225.20/x
  3. Step 3: Cross multiply
    137,951.76x = 190,390.96 × 84,225.20
  4. Step 4: Simplify right side
    137,951.76x = 16,035,716,684.19
  5. Step 5: Solve for x
    x = 16,035,716,684.19/137,951.76
  6. Step 6: Final answer
    x = 116,241.48

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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.