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Finding the Fourth Proportional to 128,978.40, 193,402.80 and 58,778.40

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Solution

The fourth proportional to 128,978.40, 193,402.80 and 58,778.40 is: 88,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,978.40 : 193,402.80 = 58,778.40 : x
  2. Step 2: Convert to fraction form
    128,978.40/193,402.80 = 58,778.40/x
  3. Step 3: Cross multiply
    128,978.40x = 193,402.80 × 58,778.40
  4. Step 4: Simplify right side
    128,978.40x = 11,367,907,139.52
  5. Step 5: Solve for x
    x = 11,367,907,139.52/128,978.40
  6. Step 6: Final answer
    x = 88,138.07

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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.