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Finding the Fourth Proportional to 177,852.75, 266,779.14 and 72,671.64

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Solution

The fourth proportional to 177,852.75, 266,779.14 and 72,671.64 is: 109,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,852.75 : 266,779.14 = 72,671.64 : x
  2. Step 2: Convert to fraction form
    177,852.75/266,779.14 = 72,671.64/x
  3. Step 3: Cross multiply
    177,852.75x = 266,779.14 × 72,671.64
  4. Step 4: Simplify right side
    177,852.75x = 19,387,277,621.59
  5. Step 5: Solve for x
    x = 19,387,277,621.59/177,852.75
  6. Step 6: Final answer
    x = 109,007.47

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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.