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Finding the Fourth Proportional to 342,158.58, 513,204.87 and 105,437.70

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Solution

The fourth proportional to 342,158.58, 513,204.87 and 105,437.70 is: 158,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,158.58 : 513,204.87 = 105,437.70 : x
  2. Step 2: Convert to fraction form
    342,158.58/513,204.87 = 105,437.70/x
  3. Step 3: Cross multiply
    342,158.58x = 513,204.87 × 105,437.70
  4. Step 4: Simplify right side
    342,158.58x = 54,111,141,121.60
  5. Step 5: Solve for x
    x = 54,111,141,121.60/342,158.58
  6. Step 6: Final answer
    x = 158,146.38

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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.