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Finding the Fourth Proportional to 78,574.64, 108,470.10 and 50,296.74

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Solution

The fourth proportional to 78,574.64, 108,470.10 and 50,296.74 is: 69,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,574.64 : 108,470.10 = 50,296.74 : x
  2. Step 2: Convert to fraction form
    78,574.64/108,470.10 = 50,296.74/x
  3. Step 3: Cross multiply
    78,574.64x = 108,470.10 × 50,296.74
  4. Step 4: Simplify right side
    78,574.64x = 5,455,692,417.47
  5. Step 5: Solve for x
    x = 5,455,692,417.47/78,574.64
  6. Step 6: Final answer
    x = 69,433.25

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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.