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Finding the Fourth Proportional to 255,232.40, 382,848.72 and 105,307.92

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Solution

The fourth proportional to 255,232.40, 382,848.72 and 105,307.92 is: 157,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,232.40 : 382,848.72 = 105,307.92 : x
  2. Step 2: Convert to fraction form
    255,232.40/382,848.72 = 105,307.92/x
  3. Step 3: Cross multiply
    255,232.40x = 382,848.72 × 105,307.92
  4. Step 4: Simplify right side
    255,232.40x = 40,317,002,377.86
  5. Step 5: Solve for x
    x = 40,317,002,377.86/255,232.40
  6. Step 6: Final answer
    x = 157,961.93

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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.