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Finding the Fourth Proportional to 78,226.48, 107,952.66 and 42,416.32

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Solution

The fourth proportional to 78,226.48, 107,952.66 and 42,416.32 is: 58,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,226.48 : 107,952.66 = 42,416.32 : x
  2. Step 2: Convert to fraction form
    78,226.48/107,952.66 = 42,416.32/x
  3. Step 3: Cross multiply
    78,226.48x = 107,952.66 × 42,416.32
  4. Step 4: Simplify right side
    78,226.48x = 4,578,954,571.41
  5. Step 5: Solve for x
    x = 4,578,954,571.41/78,226.48
  6. Step 6: Final answer
    x = 58,534.59

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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.