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Finding the Fourth Proportional to 78,219.65, 107,943.63 and 42,410.21

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Solution

The fourth proportional to 78,219.65, 107,943.63 and 42,410.21 is: 58,526.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,219.65 : 107,943.63 = 42,410.21 : x
  2. Step 2: Convert to fraction form
    78,219.65/107,943.63 = 42,410.21/x
  3. Step 3: Cross multiply
    78,219.65x = 107,943.63 × 42,410.21
  4. Step 4: Simplify right side
    78,219.65x = 4,577,912,016.46
  5. Step 5: Solve for x
    x = 4,577,912,016.46/78,219.65
  6. Step 6: Final answer
    x = 58,526.37

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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.