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Finding the Fourth Proportional to 77,762, 107,321.01 and 43,783.22

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Solution

The fourth proportional to 77,762, 107,321.01 and 43,783.22 is: 60,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,762 : 107,321.01 = 43,783.22 : x
  2. Step 2: Convert to fraction form
    77,762/107,321.01 = 43,783.22/x
  3. Step 3: Cross multiply
    77,762x = 107,321.01 × 43,783.22
  4. Step 4: Simplify right side
    77,762x = 4,698,859,391.45
  5. Step 5: Solve for x
    x = 4,698,859,391.45/77,762
  6. Step 6: Final answer
    x = 60,426.16

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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.