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Finding the Fourth Proportional to 212,431, 318,646.50 and 64,687

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Solution

The fourth proportional to 212,431, 318,646.50 and 64,687 is: 97,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,431 : 318,646.50 = 64,687 : x
  2. Step 2: Convert to fraction form
    212,431/318,646.50 = 64,687/x
  3. Step 3: Cross multiply
    212,431x = 318,646.50 × 64,687
  4. Step 4: Simplify right side
    212,431x = 20,612,286,145.50
  5. Step 5: Solve for x
    x = 20,612,286,145.50/212,431
  6. Step 6: Final answer
    x = 97,030.50

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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.