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Finding the Fourth Proportional to 255,221.56, 382,721.38 and 77,686.98

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Solution

The fourth proportional to 255,221.56, 382,721.38 and 77,686.98 is: 116,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,221.56 : 382,721.38 = 77,686.98 : x
  2. Step 2: Convert to fraction form
    255,221.56/382,721.38 = 77,686.98/x
  3. Step 3: Cross multiply
    255,221.56x = 382,721.38 × 77,686.98
  4. Step 4: Simplify right side
    255,221.56x = 29,732,468,193.63
  5. Step 5: Solve for x
    x = 29,732,468,193.63/255,221.56
  6. Step 6: Final answer
    x = 116,496.69

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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.