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Finding the Fourth Proportional to 78,106.40, 107,760.38 and 51,246.40

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Solution

The fourth proportional to 78,106.40, 107,760.38 and 51,246.40 is: 70,702.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,106.40 : 107,760.38 = 51,246.40 : x
  2. Step 2: Convert to fraction form
    78,106.40/107,760.38 = 51,246.40/x
  3. Step 3: Cross multiply
    78,106.40x = 107,760.38 × 51,246.40
  4. Step 4: Simplify right side
    78,106.40x = 5,522,331,537.63
  5. Step 5: Solve for x
    x = 5,522,331,537.63/78,106.40
  6. Step 6: Final answer
    x = 70,702.68

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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.