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Finding the Fourth Proportional to 206,980.69, 310,467.15 and 112,810.17

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Solution

The fourth proportional to 206,980.69, 310,467.15 and 112,810.17 is: 169,213.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,980.69 : 310,467.15 = 112,810.17 : x
  2. Step 2: Convert to fraction form
    206,980.69/310,467.15 = 112,810.17/x
  3. Step 3: Cross multiply
    206,980.69x = 310,467.15 × 112,810.17
  4. Step 4: Simplify right side
    206,980.69x = 35,023,851,970.92
  5. Step 5: Solve for x
    x = 35,023,851,970.92/206,980.69
  6. Step 6: Final answer
    x = 169,213.14

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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.