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Finding the Fourth Proportional to 211,312.30, 317,020.31 and 61,553.98

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Solution

The fourth proportional to 211,312.30, 317,020.31 and 61,553.98 is: 92,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,312.30 : 317,020.31 = 61,553.98 : x
  2. Step 2: Convert to fraction form
    211,312.30/317,020.31 = 61,553.98/x
  3. Step 3: Cross multiply
    211,312.30x = 317,020.31 × 61,553.98
  4. Step 4: Simplify right side
    211,312.30x = 19,513,861,821.33
  5. Step 5: Solve for x
    x = 19,513,861,821.33/211,312.30
  6. Step 6: Final answer
    x = 92,346.08

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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.