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Finding the Fourth Proportional to 78,087.36, 107,760.40 and 42,277.40

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Solution

The fourth proportional to 78,087.36, 107,760.40 and 42,277.40 is: 58,342.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,087.36 : 107,760.40 = 42,277.40 : x
  2. Step 2: Convert to fraction form
    78,087.36/107,760.40 = 42,277.40/x
  3. Step 3: Cross multiply
    78,087.36x = 107,760.40 × 42,277.40
  4. Step 4: Simplify right side
    78,087.36x = 4,555,829,534.96
  5. Step 5: Solve for x
    x = 4,555,829,534.96/78,087.36
  6. Step 6: Final answer
    x = 58,342.73

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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.