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Finding the Fourth Proportional to 255,222.21, 382,888.76 and 77,724.66

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Solution

The fourth proportional to 255,222.21, 382,888.76 and 77,724.66 is: 116,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,222.21 : 382,888.76 = 77,724.66 : x
  2. Step 2: Convert to fraction form
    255,222.21/382,888.76 = 77,724.66/x
  3. Step 3: Cross multiply
    255,222.21x = 382,888.76 × 77,724.66
  4. Step 4: Simplify right side
    255,222.21x = 29,759,898,300.20
  5. Step 5: Solve for x
    x = 29,759,898,300.20/255,222.21
  6. Step 6: Final answer
    x = 116,603.87

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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.