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Finding the Fourth Proportional to 78,039.81, 107,695.13 and 42,230.21

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Solution

The fourth proportional to 78,039.81, 107,695.13 and 42,230.21 is: 58,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,039.81 : 107,695.13 = 42,230.21 : x
  2. Step 2: Convert to fraction form
    78,039.81/107,695.13 = 42,230.21/x
  3. Step 3: Cross multiply
    78,039.81x = 107,695.13 × 42,230.21
  4. Step 4: Simplify right side
    78,039.81x = 4,547,987,206.25
  5. Step 5: Solve for x
    x = 4,547,987,206.25/78,039.81
  6. Step 6: Final answer
    x = 58,277.78

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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.