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Finding the Fourth Proportional to 208,131.84, 312,256.08 and 83,560.32

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Solution

The fourth proportional to 208,131.84, 312,256.08 and 83,560.32 is: 125,363.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,131.84 : 312,256.08 = 83,560.32 : x
  2. Step 2: Convert to fraction form
    208,131.84/312,256.08 = 83,560.32/x
  3. Step 3: Cross multiply
    208,131.84x = 312,256.08 × 83,560.32
  4. Step 4: Simplify right side
    208,131.84x = 26,092,217,966.75
  5. Step 5: Solve for x
    x = 26,092,217,966.75/208,131.84
  6. Step 6: Final answer
    x = 125,363.89

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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.