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Finding the Fourth Proportional to 129,038, 193,557 and 35,543.76

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Solution

The fourth proportional to 129,038, 193,557 and 35,543.76 is: 53,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,038 : 193,557 = 35,543.76 : x
  2. Step 2: Convert to fraction form
    129,038/193,557 = 35,543.76/x
  3. Step 3: Cross multiply
    129,038x = 193,557 × 35,543.76
  4. Step 4: Simplify right side
    129,038x = 6,879,743,554.32
  5. Step 5: Solve for x
    x = 6,879,743,554.32/129,038
  6. Step 6: Final answer
    x = 53,315.64

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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.