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Finding the Fourth Proportional to 211,573.64, 317,362.51 and 53,802.09

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Solution

The fourth proportional to 211,573.64, 317,362.51 and 53,802.09 is: 80,703.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,573.64 : 317,362.51 = 53,802.09 : x
  2. Step 2: Convert to fraction form
    211,573.64/317,362.51 = 53,802.09/x
  3. Step 3: Cross multiply
    211,573.64x = 317,362.51 × 53,802.09
  4. Step 4: Simplify right side
    211,573.64x = 17,074,766,325.65
  5. Step 5: Solve for x
    x = 17,074,766,325.65/211,573.64
  6. Step 6: Final answer
    x = 80,703.66

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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.