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Finding the Fourth Proportional to 255,235.42, 382,908.48 and 77,737.78

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Solution

The fourth proportional to 255,235.42, 382,908.48 and 77,737.78 is: 116,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,235.42 : 382,908.48 = 77,737.78 : x
  2. Step 2: Convert to fraction form
    255,235.42/382,908.48 = 77,737.78/x
  3. Step 3: Cross multiply
    255,235.42x = 382,908.48 × 77,737.78
  4. Step 4: Simplify right side
    255,235.42x = 29,766,452,875.14
  5. Step 5: Solve for x
    x = 29,766,452,875.14/255,235.42
  6. Step 6: Final answer
    x = 116,623.52

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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.