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Finding the Fourth Proportional to 78,406.80, 108,217.14 and 46,569.54

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Solution

The fourth proportional to 78,406.80, 108,217.14 and 46,569.54 is: 64,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,406.80 : 108,217.14 = 46,569.54 : x
  2. Step 2: Convert to fraction form
    78,406.80/108,217.14 = 46,569.54/x
  3. Step 3: Cross multiply
    78,406.80x = 108,217.14 × 46,569.54
  4. Step 4: Simplify right side
    78,406.80x = 5,039,622,429.92
  5. Step 5: Solve for x
    x = 5,039,622,429.92/78,406.80
  6. Step 6: Final answer
    x = 64,275.32

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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.