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Finding the Fourth Proportional to 208,180, 312,278.64 and 60,436

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Solution

The fourth proportional to 208,180, 312,278.64 and 60,436 is: 90,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,180 : 312,278.64 = 60,436 : x
  2. Step 2: Convert to fraction form
    208,180/312,278.64 = 60,436/x
  3. Step 3: Cross multiply
    208,180x = 312,278.64 × 60,436
  4. Step 4: Simplify right side
    208,180x = 18,872,871,887.04
  5. Step 5: Solve for x
    x = 18,872,871,887.04/208,180
  6. Step 6: Final answer
    x = 90,656.51

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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.