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Finding the Fourth Proportional to 78,238.33, 107,968.95 and 42,428.33

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Solution

The fourth proportional to 78,238.33, 107,968.95 and 42,428.33 is: 58,551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,238.33 : 107,968.95 = 42,428.33 : x
  2. Step 2: Convert to fraction form
    78,238.33/107,968.95 = 42,428.33/x
  3. Step 3: Cross multiply
    78,238.33x = 107,968.95 × 42,428.33
  4. Step 4: Simplify right side
    78,238.33x = 4,580,942,240.35
  5. Step 5: Solve for x
    x = 4,580,942,240.35/78,238.33
  6. Step 6: Final answer
    x = 58,551.13

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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.