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Finding the Fourth Proportional to 255,917.61, 383,862.51 and 78,425.15

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Solution

The fourth proportional to 255,917.61, 383,862.51 and 78,425.15 is: 117,633.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,917.61 : 383,862.51 = 78,425.15 : x
  2. Step 2: Convert to fraction form
    255,917.61/383,862.51 = 78,425.15/x
  3. Step 3: Cross multiply
    255,917.61x = 383,862.51 × 78,425.15
  4. Step 4: Simplify right side
    255,917.61x = 30,104,473,006.81
  5. Step 5: Solve for x
    x = 30,104,473,006.81/255,917.61
  6. Step 6: Final answer
    x = 117,633.46

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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.