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Finding the Fourth Proportional to 77,999.34, 107,678.90 and 54,084.48

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Solution

The fourth proportional to 77,999.34, 107,678.90 and 54,084.48 is: 74,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,999.34 : 107,678.90 = 54,084.48 : x
  2. Step 2: Convert to fraction form
    77,999.34/107,678.90 = 54,084.48/x
  3. Step 3: Cross multiply
    77,999.34x = 107,678.90 × 54,084.48
  4. Step 4: Simplify right side
    77,999.34x = 5,823,757,313.47
  5. Step 5: Solve for x
    x = 5,823,757,313.47/77,999.34
  6. Step 6: Final answer
    x = 74,664.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.