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Finding the Fourth Proportional to 255,307.04, 383,017.44 and 77,827.88

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Solution

The fourth proportional to 255,307.04, 383,017.44 and 77,827.88 is: 116,759.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,307.04 : 383,017.44 = 77,827.88 : x
  2. Step 2: Convert to fraction form
    255,307.04/383,017.44 = 77,827.88/x
  3. Step 3: Cross multiply
    255,307.04x = 383,017.44 × 77,827.88
  4. Step 4: Simplify right side
    255,307.04x = 29,809,433,054.00
  5. Step 5: Solve for x
    x = 29,809,433,054.00/255,307.04
  6. Step 6: Final answer
    x = 116,759.15

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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.