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Finding the Fourth Proportional to 77,381.33, 106,798.16 and 43,403.54

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Solution

The fourth proportional to 77,381.33, 106,798.16 and 43,403.54 is: 59,903.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,381.33 : 106,798.16 = 43,403.54 : x
  2. Step 2: Convert to fraction form
    77,381.33/106,798.16 = 43,403.54/x
  3. Step 3: Cross multiply
    77,381.33x = 106,798.16 × 43,403.54
  4. Step 4: Simplify right side
    77,381.33x = 4,635,417,784.00
  5. Step 5: Solve for x
    x = 4,635,417,784.00/77,381.33
  6. Step 6: Final answer
    x = 59,903.57

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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.