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Finding the Fourth Proportional to 211,544.64, 317,302.02 and 99,249.48

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Solution

The fourth proportional to 211,544.64, 317,302.02 and 99,249.48 is: 148,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,544.64 : 317,302.02 = 99,249.48 : x
  2. Step 2: Convert to fraction form
    211,544.64/317,302.02 = 99,249.48/x
  3. Step 3: Cross multiply
    211,544.64x = 317,302.02 × 99,249.48
  4. Step 4: Simplify right side
    211,544.64x = 31,492,060,487.95
  5. Step 5: Solve for x
    x = 31,492,060,487.95/211,544.64
  6. Step 6: Final answer
    x = 148,867.21

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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.