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Finding the Fourth Proportional to 78,181.99, 107,888.25 and 42,371.23

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Solution

The fourth proportional to 78,181.99, 107,888.25 and 42,371.23 is: 58,470.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,181.99 : 107,888.25 = 42,371.23 : x
  2. Step 2: Convert to fraction form
    78,181.99/107,888.25 = 42,371.23/x
  3. Step 3: Cross multiply
    78,181.99x = 107,888.25 × 42,371.23
  4. Step 4: Simplify right side
    78,181.99x = 4,571,357,946.51
  5. Step 5: Solve for x
    x = 4,571,357,946.51/78,181.99
  6. Step 6: Final answer
    x = 58,470.73

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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.