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Finding the Fourth Proportional to 78,155.36, 117,275.16 and 51,872.48

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Solution

The fourth proportional to 78,155.36, 117,275.16 and 51,872.48 is: 77,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,155.36 : 117,275.16 = 51,872.48 : x
  2. Step 2: Convert to fraction form
    78,155.36/117,275.16 = 51,872.48/x
  3. Step 3: Cross multiply
    78,155.36x = 117,275.16 × 51,872.48
  4. Step 4: Simplify right side
    78,155.36x = 6,083,353,391.60
  5. Step 5: Solve for x
    x = 6,083,353,391.60/78,155.36
  6. Step 6: Final answer
    x = 77,836.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.