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Finding the Fourth Proportional to 342,207.79, 513,140.37 and 105,519.71

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Solution

The fourth proportional to 342,207.79, 513,140.37 and 105,519.71 is: 158,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,207.79 : 513,140.37 = 105,519.71 : x
  2. Step 2: Convert to fraction form
    342,207.79/513,140.37 = 105,519.71/x
  3. Step 3: Cross multiply
    342,207.79x = 513,140.37 × 105,519.71
  4. Step 4: Simplify right side
    342,207.79x = 54,146,423,918.84
  5. Step 5: Solve for x
    x = 54,146,423,918.84/342,207.79
  6. Step 6: Final answer
    x = 158,226.74

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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.