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Finding the Fourth Proportional to 129,054, 193,588.29 and 45,948

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Solution

The fourth proportional to 129,054, 193,588.29 and 45,948 is: 68,924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,054 : 193,588.29 = 45,948 : x
  2. Step 2: Convert to fraction form
    129,054/193,588.29 = 45,948/x
  3. Step 3: Cross multiply
    129,054x = 193,588.29 × 45,948
  4. Step 4: Simplify right side
    129,054x = 8,894,994,748.92
  5. Step 5: Solve for x
    x = 8,894,994,748.92/129,054
  6. Step 6: Final answer
    x = 68,924.60

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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.