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Finding the Fourth Proportional to 128,538.32, 192,801.80 and 35,044.08

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Solution

The fourth proportional to 128,538.32, 192,801.80 and 35,044.08 is: 52,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,538.32 : 192,801.80 = 35,044.08 : x
  2. Step 2: Convert to fraction form
    128,538.32/192,801.80 = 35,044.08/x
  3. Step 3: Cross multiply
    128,538.32x = 192,801.80 × 35,044.08
  4. Step 4: Simplify right side
    128,538.32x = 6,756,561,703.34
  5. Step 5: Solve for x
    x = 6,756,561,703.34/128,538.32
  6. Step 6: Final answer
    x = 52,564.57

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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.