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Finding the Fourth Proportional to 78,112.56, 107,794.75 and 42,301.74

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Solution

The fourth proportional to 78,112.56, 107,794.75 and 42,301.74 is: 58,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,112.56 : 107,794.75 = 42,301.74 : x
  2. Step 2: Convert to fraction form
    78,112.56/107,794.75 = 42,301.74/x
  3. Step 3: Cross multiply
    78,112.56x = 107,794.75 × 42,301.74
  4. Step 4: Simplify right side
    78,112.56x = 4,559,905,487.87
  5. Step 5: Solve for x
    x = 4,559,905,487.87/78,112.56
  6. Step 6: Final answer
    x = 58,376.09

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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.