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Finding the Fourth Proportional to 208,176, 312,272.64 and 60,432

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Solution

The fourth proportional to 208,176, 312,272.64 and 60,432 is: 90,650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,176 : 312,272.64 = 60,432 : x
  2. Step 2: Convert to fraction form
    208,176/312,272.64 = 60,432/x
  3. Step 3: Cross multiply
    208,176x = 312,272.64 × 60,432
  4. Step 4: Simplify right side
    208,176x = 18,871,260,180.48
  5. Step 5: Solve for x
    x = 18,871,260,180.48/208,176
  6. Step 6: Final answer
    x = 90,650.51

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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.