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Finding the Fourth Proportional to 76,470.16, 114,702.84 and 21,065.68

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Solution

The fourth proportional to 76,470.16, 114,702.84 and 21,065.68 is: 31,597.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,470.16 : 114,702.84 = 21,065.68 : x
  2. Step 2: Convert to fraction form
    76,470.16/114,702.84 = 21,065.68/x
  3. Step 3: Cross multiply
    76,470.16x = 114,702.84 × 21,065.68
  4. Step 4: Simplify right side
    76,470.16x = 2,416,293,322.53
  5. Step 5: Solve for x
    x = 2,416,293,322.53/76,470.16
  6. Step 6: Final answer
    x = 31,597.86

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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.