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Finding the Fourth Proportional to 78,220.38, 107,943.12 and 42,410.28

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Solution

The fourth proportional to 78,220.38, 107,943.12 and 42,410.28 is: 58,525.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,220.38 : 107,943.12 = 42,410.28 : x
  2. Step 2: Convert to fraction form
    78,220.38/107,943.12 = 42,410.28/x
  3. Step 3: Cross multiply
    78,220.38x = 107,943.12 × 42,410.28
  4. Step 4: Simplify right side
    78,220.38x = 4,577,897,943.27
  5. Step 5: Solve for x
    x = 4,577,897,943.27/78,220.38
  6. Step 6: Final answer
    x = 58,525.64

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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.