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Finding the Fourth Proportional to 212,387.84, 318,627.84 and 64,640

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Solution

The fourth proportional to 212,387.84, 318,627.84 and 64,640 is: 96,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,387.84 : 318,627.84 = 64,640 : x
  2. Step 2: Convert to fraction form
    212,387.84/318,627.84 = 64,640/x
  3. Step 3: Cross multiply
    212,387.84x = 318,627.84 × 64,640
  4. Step 4: Simplify right side
    212,387.84x = 20,596,103,577.60
  5. Step 5: Solve for x
    x = 20,596,103,577.60/212,387.84
  6. Step 6: Final answer
    x = 96,974.02

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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.