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Finding the Fourth Proportional to 128,959.30, 193,438.95 and 99,434.80

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Solution

The fourth proportional to 128,959.30, 193,438.95 and 99,434.80 is: 149,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,959.30 : 193,438.95 = 99,434.80 : x
  2. Step 2: Convert to fraction form
    128,959.30/193,438.95 = 99,434.80/x
  3. Step 3: Cross multiply
    128,959.30x = 193,438.95 × 99,434.80
  4. Step 4: Simplify right side
    128,959.30x = 19,234,563,305.46
  5. Step 5: Solve for x
    x = 19,234,563,305.46/128,959.30
  6. Step 6: Final answer
    x = 149,152.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.