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Finding the Fourth Proportional to 212,393.28, 318,641.76 and 64,649.28

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Solution

The fourth proportional to 212,393.28, 318,641.76 and 64,649.28 is: 96,989.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,393.28 : 318,641.76 = 64,649.28 : x
  2. Step 2: Convert to fraction form
    212,393.28/318,641.76 = 64,649.28/x
  3. Step 3: Cross multiply
    212,393.28x = 318,641.76 × 64,649.28
  4. Step 4: Simplify right side
    212,393.28x = 20,599,960,361.93
  5. Step 5: Solve for x
    x = 20,599,960,361.93/212,393.28
  6. Step 6: Final answer
    x = 96,989.70

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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.