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Finding the Fourth Proportional to 211,992.30, 317,988.63 and 78,855.30

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Solution

The fourth proportional to 211,992.30, 317,988.63 and 78,855.30 is: 118,283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,992.30 : 317,988.63 = 78,855.30 : x
  2. Step 2: Convert to fraction form
    211,992.30/317,988.63 = 78,855.30/x
  3. Step 3: Cross multiply
    211,992.30x = 317,988.63 × 78,855.30
  4. Step 4: Simplify right side
    211,992.30x = 25,075,088,815.24
  5. Step 5: Solve for x
    x = 25,075,088,815.24/211,992.30
  6. Step 6: Final answer
    x = 118,283.02

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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.