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Finding the Fourth Proportional to 205,641.30, 308,001.15 and 107,030.10

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Solution

The fourth proportional to 205,641.30, 308,001.15 and 107,030.10 is: 160,305.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,641.30 : 308,001.15 = 107,030.10 : x
  2. Step 2: Convert to fraction form
    205,641.30/308,001.15 = 107,030.10/x
  3. Step 3: Cross multiply
    205,641.30x = 308,001.15 × 107,030.10
  4. Step 4: Simplify right side
    205,641.30x = 32,965,393,884.62
  5. Step 5: Solve for x
    x = 32,965,393,884.62/205,641.30
  6. Step 6: Final answer
    x = 160,305.32

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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.