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Finding the Fourth Proportional to 78,221.65, 107,946.39 and 42,412.21

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Solution

The fourth proportional to 78,221.65, 107,946.39 and 42,412.21 is: 58,529.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,221.65 : 107,946.39 = 42,412.21 : x
  2. Step 2: Convert to fraction form
    78,221.65/107,946.39 = 42,412.21/x
  3. Step 3: Cross multiply
    78,221.65x = 107,946.39 × 42,412.21
  4. Step 4: Simplify right side
    78,221.65x = 4,578,244,961.42
  5. Step 5: Solve for x
    x = 4,578,244,961.42/78,221.65
  6. Step 6: Final answer
    x = 58,529.13

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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.