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Finding the Fourth Proportional to 208,266.93, 312,335.71 and 75,129.86

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Solution

The fourth proportional to 208,266.93, 312,335.71 and 75,129.86 is: 112,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,266.93 : 312,335.71 = 75,129.86 : x
  2. Step 2: Convert to fraction form
    208,266.93/312,335.71 = 75,129.86/x
  3. Step 3: Cross multiply
    208,266.93x = 312,335.71 × 75,129.86
  4. Step 4: Simplify right side
    208,266.93x = 23,465,738,165.30
  5. Step 5: Solve for x
    x = 23,465,738,165.30/208,266.93
  6. Step 6: Final answer
    x = 112,671.46

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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.