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Finding the Fourth Proportional to 78,997.59, 109,004.07 and 45,006.75

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Solution

The fourth proportional to 78,997.59, 109,004.07 and 45,006.75 is: 62,102.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,997.59 : 109,004.07 = 45,006.75 : x
  2. Step 2: Convert to fraction form
    78,997.59/109,004.07 = 45,006.75/x
  3. Step 3: Cross multiply
    78,997.59x = 109,004.07 × 45,006.75
  4. Step 4: Simplify right side
    78,997.59x = 4,905,918,927.47
  5. Step 5: Solve for x
    x = 4,905,918,927.47/78,997.59
  6. Step 6: Final answer
    x = 62,102.13

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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.