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Finding the Fourth Proportional to 255,214.91, 382,879.52 and 77,735.81

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Solution

The fourth proportional to 255,214.91, 382,879.52 and 77,735.81 is: 116,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,214.91 : 382,879.52 = 77,735.81 : x
  2. Step 2: Convert to fraction form
    255,214.91/382,879.52 = 77,735.81/x
  3. Step 3: Cross multiply
    255,214.91x = 382,879.52 × 77,735.81
  4. Step 4: Simplify right side
    255,214.91x = 29,763,447,316.53
  5. Step 5: Solve for x
    x = 29,763,447,316.53/255,214.91
  6. Step 6: Final answer
    x = 116,621.12

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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.