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Finding the Fourth Proportional to 255,361.02, 383,103.57 and 77,871.18

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Solution

The fourth proportional to 255,361.02, 383,103.57 and 77,871.18 is: 116,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,361.02 : 383,103.57 = 77,871.18 : x
  2. Step 2: Convert to fraction form
    255,361.02/383,103.57 = 77,871.18/x
  3. Step 3: Cross multiply
    255,361.02x = 383,103.57 × 77,871.18
  4. Step 4: Simplify right side
    255,361.02x = 29,832,727,058.11
  5. Step 5: Solve for x
    x = 29,832,727,058.11/255,361.02
  6. Step 6: Final answer
    x = 116,825.69

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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.