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Finding the Fourth Proportional to 76,853.84, 106,054.60 and 43,319.76

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Solution

The fourth proportional to 76,853.84, 106,054.60 and 43,319.76 is: 59,779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,853.84 : 106,054.60 = 43,319.76 : x
  2. Step 2: Convert to fraction form
    76,853.84/106,054.60 = 43,319.76/x
  3. Step 3: Cross multiply
    76,853.84x = 106,054.60 × 43,319.76
  4. Step 4: Simplify right side
    76,853.84x = 4,594,259,818.90
  5. Step 5: Solve for x
    x = 4,594,259,818.90/76,853.84
  6. Step 6: Final answer
    x = 59,779.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.