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Finding the Fourth Proportional to 138,300.95, 190,897.63 and 80,953.70

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Solution

The fourth proportional to 138,300.95, 190,897.63 and 80,953.70 is: 111,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,300.95 : 190,897.63 = 80,953.70 : x
  2. Step 2: Convert to fraction form
    138,300.95/190,897.63 = 80,953.70/x
  3. Step 3: Cross multiply
    138,300.95x = 190,897.63 × 80,953.70
  4. Step 4: Simplify right side
    138,300.95x = 15,453,868,312.86
  5. Step 5: Solve for x
    x = 15,453,868,312.86/138,300.95
  6. Step 6: Final answer
    x = 111,740.87

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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.