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Finding the Fourth Proportional to 78,015.50, 107,663.01 and 46,172.78

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Solution

The fourth proportional to 78,015.50, 107,663.01 and 46,172.78 is: 63,719.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,015.50 : 107,663.01 = 46,172.78 : x
  2. Step 2: Convert to fraction form
    78,015.50/107,663.01 = 46,172.78/x
  3. Step 3: Cross multiply
    78,015.50x = 107,663.01 × 46,172.78
  4. Step 4: Simplify right side
    78,015.50x = 4,971,100,474.87
  5. Step 5: Solve for x
    x = 4,971,100,474.87/78,015.50
  6. Step 6: Final answer
    x = 63,719.40

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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.