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Finding the Fourth Proportional to 266,077.96, 399,000.54 and 99,749.32

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Solution

The fourth proportional to 266,077.96, 399,000.54 and 99,749.32 is: 149,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,077.96 : 399,000.54 = 99,749.32 : x
  2. Step 2: Convert to fraction form
    266,077.96/399,000.54 = 99,749.32/x
  3. Step 3: Cross multiply
    266,077.96x = 399,000.54 × 99,749.32
  4. Step 4: Simplify right side
    266,077.96x = 39,800,032,544.63
  5. Step 5: Solve for x
    x = 39,800,032,544.63/266,077.96
  6. Step 6: Final answer
    x = 149,580.34

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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.