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Finding the Fourth Proportional to 129,152.52, 193,728.51 and 35,658

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Solution

The fourth proportional to 129,152.52, 193,728.51 and 35,658 is: 53,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,152.52 : 193,728.51 = 35,658 : x
  2. Step 2: Convert to fraction form
    129,152.52/193,728.51 = 35,658/x
  3. Step 3: Cross multiply
    129,152.52x = 193,728.51 × 35,658
  4. Step 4: Simplify right side
    129,152.52x = 6,907,971,209.58
  5. Step 5: Solve for x
    x = 6,907,971,209.58/129,152.52
  6. Step 6: Final answer
    x = 53,486.93

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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.