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Finding the Fourth Proportional to 206,802.18, 310,357.65 and 153,616.95

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Solution

The fourth proportional to 206,802.18, 310,357.65 and 153,616.95 is: 230,540.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,802.18 : 310,357.65 = 153,616.95 : x
  2. Step 2: Convert to fraction form
    206,802.18/310,357.65 = 153,616.95/x
  3. Step 3: Cross multiply
    206,802.18x = 310,357.65 × 153,616.95
  4. Step 4: Simplify right side
    206,802.18x = 47,676,195,602.17
  5. Step 5: Solve for x
    x = 47,676,195,602.17/206,802.18
  6. Step 6: Final answer
    x = 230,540.10

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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.