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Finding the Fourth Proportional to 205,316.60, 308,205.30 and 158,775.80

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Solution

The fourth proportional to 205,316.60, 308,205.30 and 158,775.80 is: 238,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,316.60 : 308,205.30 = 158,775.80 : x
  2. Step 2: Convert to fraction form
    205,316.60/308,205.30 = 158,775.80/x
  3. Step 3: Cross multiply
    205,316.60x = 308,205.30 × 158,775.80
  4. Step 4: Simplify right side
    205,316.60x = 48,935,543,071.74
  5. Step 5: Solve for x
    x = 48,935,543,071.74/205,316.60
  6. Step 6: Final answer
    x = 238,341.87

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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.