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Finding the Fourth Proportional to 178,126, 266,955.72 and 99,277.36

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Solution

The fourth proportional to 178,126, 266,955.72 and 99,277.36 is: 148,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,126 : 266,955.72 = 99,277.36 : x
  2. Step 2: Convert to fraction form
    178,126/266,955.72 = 99,277.36/x
  3. Step 3: Cross multiply
    178,126x = 266,955.72 × 99,277.36
  4. Step 4: Simplify right side
    178,126x = 26,502,659,118.50
  5. Step 5: Solve for x
    x = 26,502,659,118.50/178,126
  6. Step 6: Final answer
    x = 148,786.02

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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.