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Finding the Fourth Proportional to 177,886.40, 266,980.80 and 72,780.80

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Solution

The fourth proportional to 177,886.40, 266,980.80 and 72,780.80 is: 109,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,886.40 : 266,980.80 = 72,780.80 : x
  2. Step 2: Convert to fraction form
    177,886.40/266,980.80 = 72,780.80/x
  3. Step 3: Cross multiply
    177,886.40x = 266,980.80 × 72,780.80
  4. Step 4: Simplify right side
    177,886.40x = 19,431,076,208.64
  5. Step 5: Solve for x
    x = 19,431,076,208.64/177,886.40
  6. Step 6: Final answer
    x = 109,233.06

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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.