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Finding the Fourth Proportional to 255,148.58, 382,612.21 and 77,614.61

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Solution

The fourth proportional to 255,148.58, 382,612.21 and 77,614.61 is: 116,388.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,148.58 : 382,612.21 = 77,614.61 : x
  2. Step 2: Convert to fraction form
    255,148.58/382,612.21 = 77,614.61/x
  3. Step 3: Cross multiply
    255,148.58x = 382,612.21 × 77,614.61
  4. Step 4: Simplify right side
    255,148.58x = 29,696,295,353.29
  5. Step 5: Solve for x
    x = 29,696,295,353.29/255,148.58
  6. Step 6: Final answer
    x = 116,388.24

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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.