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Finding the Fourth Proportional to 78,289.77, 108,067.90 and 46,458.66

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Solution

The fourth proportional to 78,289.77, 108,067.90 and 46,458.66 is: 64,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,289.77 : 108,067.90 = 46,458.66 : x
  2. Step 2: Convert to fraction form
    78,289.77/108,067.90 = 46,458.66/x
  3. Step 3: Cross multiply
    78,289.77x = 108,067.90 × 46,458.66
  4. Step 4: Simplify right side
    78,289.77x = 5,020,689,823.01
  5. Step 5: Solve for x
    x = 5,020,689,823.01/78,289.77
  6. Step 6: Final answer
    x = 64,129.58

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1.5x scale

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.