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Finding the Fourth Proportional to 208,292.34, 312,373.88 and 75,155.34

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Solution

The fourth proportional to 208,292.34, 312,373.88 and 75,155.34 is: 112,709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,292.34 : 312,373.88 = 75,155.34 : x
  2. Step 2: Convert to fraction form
    208,292.34/312,373.88 = 75,155.34/x
  3. Step 3: Cross multiply
    208,292.34x = 312,373.88 × 75,155.34
  4. Step 4: Simplify right side
    208,292.34x = 23,476,565,158.52
  5. Step 5: Solve for x
    x = 23,476,565,158.52/208,292.34
  6. Step 6: Final answer
    x = 112,709.69

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1.5x scale

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.