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Finding the Fourth Proportional to 83,078.40, 114,646.71 and 47,267.64

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Solution

The fourth proportional to 83,078.40, 114,646.71 and 47,267.64 is: 65,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,078.40 : 114,646.71 = 47,267.64 : x
  2. Step 2: Convert to fraction form
    83,078.40/114,646.71 = 47,267.64/x
  3. Step 3: Cross multiply
    83,078.40x = 114,646.71 × 47,267.64
  4. Step 4: Simplify right side
    83,078.40x = 5,419,079,415.46
  5. Step 5: Solve for x
    x = 5,419,079,415.46/83,078.40
  6. Step 6: Final answer
    x = 65,228.50

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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.