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Finding the Fourth Proportional to 255,219.81, 382,718.77 and 77,685.23

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Solution

The fourth proportional to 255,219.81, 382,718.77 and 77,685.23 is: 116,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,219.81 : 382,718.77 = 77,685.23 : x
  2. Step 2: Convert to fraction form
    255,219.81/382,718.77 = 77,685.23/x
  3. Step 3: Cross multiply
    255,219.81x = 382,718.77 × 77,685.23
  4. Step 4: Simplify right side
    255,219.81x = 29,731,595,672.77
  5. Step 5: Solve for x
    x = 29,731,595,672.77/255,219.81
  6. Step 6: Final answer
    x = 116,494.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.