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Finding the Fourth Proportional to 211,778.74, 317,574.86 and 99,490.87

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Solution

The fourth proportional to 211,778.74, 317,574.86 and 99,490.87 is: 149,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,778.74 : 317,574.86 = 99,490.87 : x
  2. Step 2: Convert to fraction form
    211,778.74/317,574.86 = 99,490.87/x
  3. Step 3: Cross multiply
    211,778.74x = 317,574.86 × 99,490.87
  4. Step 4: Simplify right side
    211,778.74x = 31,595,799,011.04
  5. Step 5: Solve for x
    x = 31,595,799,011.04/211,778.74
  6. Step 6: Final answer
    x = 149,192.50

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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.