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Finding the Fourth Proportional to 255,416.32, 383,139.84 and 77,935.36

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Solution

The fourth proportional to 255,416.32, 383,139.84 and 77,935.36 is: 116,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,416.32 : 383,139.84 = 77,935.36 : x
  2. Step 2: Convert to fraction form
    255,416.32/383,139.84 = 77,935.36/x
  3. Step 3: Cross multiply
    255,416.32x = 383,139.84 × 77,935.36
  4. Step 4: Simplify right side
    255,416.32x = 29,860,141,360.74
  5. Step 5: Solve for x
    x = 29,860,141,360.74/255,416.32
  6. Step 6: Final answer
    x = 116,907.73

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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.