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Finding the Fourth Proportional to 211,886.60, 317,829.60 and 54,115.16

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Solution

The fourth proportional to 211,886.60, 317,829.60 and 54,115.16 is: 81,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,886.60 : 317,829.60 = 54,115.16 : x
  2. Step 2: Convert to fraction form
    211,886.60/317,829.60 = 54,115.16/x
  3. Step 3: Cross multiply
    211,886.60x = 317,829.60 × 54,115.16
  4. Step 4: Simplify right side
    211,886.60x = 17,199,399,656.74
  5. Step 5: Solve for x
    x = 17,199,399,656.74/211,886.60
  6. Step 6: Final answer
    x = 81,172.66

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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.