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Finding the Fourth Proportional to 212,432, 318,648 and 64,688

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Solution

The fourth proportional to 212,432, 318,648 and 64,688 is: 97,032

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,432 : 318,648 = 64,688 : x
  2. Step 2: Convert to fraction form
    212,432/318,648 = 64,688/x
  3. Step 3: Cross multiply
    212,432x = 318,648 × 64,688
  4. Step 4: Simplify right side
    212,432x = 20,612,701,824
  5. Step 5: Solve for x
    x = 20,612,701,824/212,432
  6. Step 6: Final answer
    x = 97,032

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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.