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Finding the Fourth Proportional to 257,607.67, 355,486.02 and 142,876.15

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Solution

The fourth proportional to 257,607.67, 355,486.02 and 142,876.15 is: 197,162.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,607.67 : 355,486.02 = 142,876.15 : x
  2. Step 2: Convert to fraction form
    257,607.67/355,486.02 = 142,876.15/x
  3. Step 3: Cross multiply
    257,607.67x = 355,486.02 × 142,876.15
  4. Step 4: Simplify right side
    257,607.67x = 50,790,474,491.53
  5. Step 5: Solve for x
    x = 50,790,474,491.53/257,607.67
  6. Step 6: Final answer
    x = 197,162.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.