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Finding the Fourth Proportional to 255,239.79, 382,845.70 and 77,731.93

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Solution

The fourth proportional to 255,239.79, 382,845.70 and 77,731.93 is: 116,593.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,239.79 : 382,845.70 = 77,731.93 : x
  2. Step 2: Convert to fraction form
    255,239.79/382,845.70 = 77,731.93/x
  3. Step 3: Cross multiply
    255,239.79x = 382,845.70 × 77,731.93
  4. Step 4: Simplify right side
    255,239.79x = 29,759,335,153.20
  5. Step 5: Solve for x
    x = 29,759,335,153.20/255,239.79
  6. Step 6: Final answer
    x = 116,593.64

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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.