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Finding the Fourth Proportional to 208,613.70, 312,782.22 and 75,476.34

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Solution

The fourth proportional to 208,613.70, 312,782.22 and 75,476.34 is: 113,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,613.70 : 312,782.22 = 75,476.34 : x
  2. Step 2: Convert to fraction form
    208,613.70/312,782.22 = 75,476.34/x
  3. Step 3: Cross multiply
    208,613.70x = 312,782.22 × 75,476.34
  4. Step 4: Simplify right side
    208,613.70x = 23,607,657,182.67
  5. Step 5: Solve for x
    x = 23,607,657,182.67/208,613.70
  6. Step 6: Final answer
    x = 113,164.46

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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.