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Finding the Fourth Proportional to 177,783.65, 266,675.72 and 72,602.61

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Solution

The fourth proportional to 177,783.65, 266,675.72 and 72,602.61 is: 108,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,783.65 : 266,675.72 = 72,602.61 : x
  2. Step 2: Convert to fraction form
    177,783.65/266,675.72 = 72,602.61/x
  3. Step 3: Cross multiply
    177,783.65x = 266,675.72 × 72,602.61
  4. Step 4: Simplify right side
    177,783.65x = 19,361,353,477.14
  5. Step 5: Solve for x
    x = 19,361,353,477.14/177,783.65
  6. Step 6: Final answer
    x = 108,904.02

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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.