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Finding the Fourth Proportional to 235,605.94, 353,439.27 and 85,823.14

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Solution

The fourth proportional to 235,605.94, 353,439.27 and 85,823.14 is: 128,745.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,605.94 : 353,439.27 = 85,823.14 : x
  2. Step 2: Convert to fraction form
    235,605.94/353,439.27 = 85,823.14/x
  3. Step 3: Cross multiply
    235,605.94x = 353,439.27 × 85,823.14
  4. Step 4: Simplify right side
    235,605.94x = 30,333,267,950.71
  5. Step 5: Solve for x
    x = 30,333,267,950.71/235,605.94
  6. Step 6: Final answer
    x = 128,745.77

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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.