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Finding the Fourth Proportional to 92,643.84, 138,944.79 and 55,214.55

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Solution

The fourth proportional to 92,643.84, 138,944.79 and 55,214.55 is: 82,809.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,643.84 : 138,944.79 = 55,214.55 : x
  2. Step 2: Convert to fraction form
    92,643.84/138,944.79 = 55,214.55/x
  3. Step 3: Cross multiply
    92,643.84x = 138,944.79 × 55,214.55
  4. Step 4: Simplify right side
    92,643.84x = 7,671,774,054.69
  5. Step 5: Solve for x
    x = 7,671,774,054.69/92,643.84
  6. Step 6: Final answer
    x = 82,809.33

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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.