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Finding the Fourth Proportional to 205,802.60, 309,020.70 and 112,490.60

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Solution

The fourth proportional to 205,802.60, 309,020.70 and 112,490.60 is: 168,909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,802.60 : 309,020.70 = 112,490.60 : x
  2. Step 2: Convert to fraction form
    205,802.60/309,020.70 = 112,490.60/x
  3. Step 3: Cross multiply
    205,802.60x = 309,020.70 × 112,490.60
  4. Step 4: Simplify right side
    205,802.60x = 34,761,923,955.42
  5. Step 5: Solve for x
    x = 34,761,923,955.42/205,802.60
  6. Step 6: Final answer
    x = 168,909.06

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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.