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Finding the Fourth Proportional to 52,138.93, 78,207.58 and 12,695.71

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Solution

The fourth proportional to 52,138.93, 78,207.58 and 12,695.71 is: 19,043.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,138.93 : 78,207.58 = 12,695.71 : x
  2. Step 2: Convert to fraction form
    52,138.93/78,207.58 = 12,695.71/x
  3. Step 3: Cross multiply
    52,138.93x = 78,207.58 × 12,695.71
  4. Step 4: Simplify right side
    52,138.93x = 992,900,300.97
  5. Step 5: Solve for x
    x = 992,900,300.97/52,138.93
  6. Step 6: Final answer
    x = 19,043.36

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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.