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Finding the Fourth Proportional to 211,785.93, 317,585.61 and 99,498.06

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Solution

The fourth proportional to 211,785.93, 317,585.61 and 99,498.06 is: 149,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,785.93 : 317,585.61 = 99,498.06 : x
  2. Step 2: Convert to fraction form
    211,785.93/317,585.61 = 99,498.06/x
  3. Step 3: Cross multiply
    211,785.93x = 317,585.61 × 99,498.06
  4. Step 4: Simplify right side
    211,785.93x = 31,599,152,078.92
  5. Step 5: Solve for x
    x = 31,599,152,078.92/211,785.93
  6. Step 6: Final answer
    x = 149,203.26

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1.5x scale

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.