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Finding the Fourth Proportional to 342,158.84, 513,205.24 and 105,437.96

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Solution

The fourth proportional to 342,158.84, 513,205.24 and 105,437.96 is: 158,146.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,158.84 : 513,205.24 = 105,437.96 : x
  2. Step 2: Convert to fraction form
    342,158.84/513,205.24 = 105,437.96/x
  3. Step 3: Cross multiply
    342,158.84x = 513,205.24 × 105,437.96
  4. Step 4: Simplify right side
    342,158.84x = 54,111,313,566.91
  5. Step 5: Solve for x
    x = 54,111,313,566.91/342,158.84
  6. Step 6: Final answer
    x = 158,146.76

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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.