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Finding the Fourth Proportional to 137,889.95, 190,258.61 and 80,503.20

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Solution

The fourth proportional to 137,889.95, 190,258.61 and 80,503.20 is: 111,077.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,889.95 : 190,258.61 = 80,503.20 : x
  2. Step 2: Convert to fraction form
    137,889.95/190,258.61 = 80,503.20/x
  3. Step 3: Cross multiply
    137,889.95x = 190,258.61 × 80,503.20
  4. Step 4: Simplify right side
    137,889.95x = 15,316,426,530.04
  5. Step 5: Solve for x
    x = 15,316,426,530.04/137,889.95
  6. Step 6: Final answer
    x = 111,077.18

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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.