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Finding the Fourth Proportional to 128,643.60, 193,009.20 and 81,203.52

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Solution

The fourth proportional to 128,643.60, 193,009.20 and 81,203.52 is: 121,832.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,643.60 : 193,009.20 = 81,203.52 : x
  2. Step 2: Convert to fraction form
    128,643.60/193,009.20 = 81,203.52/x
  3. Step 3: Cross multiply
    128,643.60x = 193,009.20 × 81,203.52
  4. Step 4: Simplify right side
    128,643.60x = 15,673,026,432.38
  5. Step 5: Solve for x
    x = 15,673,026,432.38/128,643.60
  6. Step 6: Final answer
    x = 121,832.93

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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.