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Finding the Fourth Proportional to 100,458, 138,638.52 and 55,746

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Solution

The fourth proportional to 100,458, 138,638.52 and 55,746 is: 76,933.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,458 : 138,638.52 = 55,746 : x
  2. Step 2: Convert to fraction form
    100,458/138,638.52 = 55,746/x
  3. Step 3: Cross multiply
    100,458x = 138,638.52 × 55,746
  4. Step 4: Simplify right side
    100,458x = 7,728,542,935.92
  5. Step 5: Solve for x
    x = 7,728,542,935.92/100,458
  6. Step 6: Final answer
    x = 76,933.08

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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.