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Finding the Fourth Proportional to 102,444, 141,362.34 and 57,117.68

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Solution

The fourth proportional to 102,444, 141,362.34 and 57,117.68 is: 78,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,444 : 141,362.34 = 57,117.68 : x
  2. Step 2: Convert to fraction form
    102,444/141,362.34 = 57,117.68/x
  3. Step 3: Cross multiply
    102,444x = 141,362.34 × 57,117.68
  4. Step 4: Simplify right side
    102,444x = 8,074,288,900.17
  5. Step 5: Solve for x
    x = 8,074,288,900.17/102,444
  6. Step 6: Final answer
    x = 78,816.61

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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.