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Finding the Fourth Proportional to 205,594.60, 308,145.12 and 105,801.88

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Solution

The fourth proportional to 205,594.60, 308,145.12 and 105,801.88 is: 158,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,594.60 : 308,145.12 = 105,801.88 : x
  2. Step 2: Convert to fraction form
    205,594.60/308,145.12 = 105,801.88/x
  3. Step 3: Cross multiply
    205,594.60x = 308,145.12 × 105,801.88
  4. Step 4: Simplify right side
    205,594.60x = 32,602,333,008.83
  5. Step 5: Solve for x
    x = 32,602,333,008.83/205,594.60
  6. Step 6: Final answer
    x = 158,575.82

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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.