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Finding the Fourth Proportional to 211,776.49, 317,571.48 and 99,488.62

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Solution

The fourth proportional to 211,776.49, 317,571.48 and 99,488.62 is: 149,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,776.49 : 317,571.48 = 99,488.62 : x
  2. Step 2: Convert to fraction form
    211,776.49/317,571.48 = 99,488.62/x
  3. Step 3: Cross multiply
    211,776.49x = 317,571.48 × 99,488.62
  4. Step 4: Simplify right side
    211,776.49x = 31,594,748,693.52
  5. Step 5: Solve for x
    x = 31,594,748,693.52/211,776.49
  6. Step 6: Final answer
    x = 149,189.12

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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.