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Finding the Fourth Proportional to 133,091.63, 199,637.45 and 77,648.75

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Solution

The fourth proportional to 133,091.63, 199,637.45 and 77,648.75 is: 116,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,091.63 : 199,637.45 = 77,648.75 : x
  2. Step 2: Convert to fraction form
    133,091.63/199,637.45 = 77,648.75/x
  3. Step 3: Cross multiply
    133,091.63x = 199,637.45 × 77,648.75
  4. Step 4: Simplify right side
    133,091.63x = 15,501,598,445.69
  5. Step 5: Solve for x
    x = 15,501,598,445.69/133,091.63
  6. Step 6: Final answer
    x = 116,473.13

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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.