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Finding the Fourth Proportional to 102,438, 141,364.44 and 55,334

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Solution

The fourth proportional to 102,438, 141,364.44 and 55,334 is: 76,360.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,438 : 141,364.44 = 55,334 : x
  2. Step 2: Convert to fraction form
    102,438/141,364.44 = 55,334/x
  3. Step 3: Cross multiply
    102,438x = 141,364.44 × 55,334
  4. Step 4: Simplify right side
    102,438x = 7,822,259,922.96
  5. Step 5: Solve for x
    x = 7,822,259,922.96/102,438
  6. Step 6: Final answer
    x = 76,360.92

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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.