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Finding the Fourth Proportional to 78,161.97, 107,900.70 and 52,364.93

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Solution

The fourth proportional to 78,161.97, 107,900.70 and 52,364.93 is: 72,288.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,161.97 : 107,900.70 = 52,364.93 : x
  2. Step 2: Convert to fraction form
    78,161.97/107,900.70 = 52,364.93/x
  3. Step 3: Cross multiply
    78,161.97x = 107,900.70 × 52,364.93
  4. Step 4: Simplify right side
    78,161.97x = 5,650,212,872.20
  5. Step 5: Solve for x
    x = 5,650,212,872.20/78,161.97
  6. Step 6: Final answer
    x = 72,288.52

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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.