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Finding the Fourth Proportional to 52,139.93, 78,209.07 and 12,696.71

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Solution

The fourth proportional to 52,139.93, 78,209.07 and 12,696.71 is: 19,044.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,139.93 : 78,209.07 = 12,696.71 : x
  2. Step 2: Convert to fraction form
    52,139.93/78,209.07 = 12,696.71/x
  3. Step 3: Cross multiply
    52,139.93x = 78,209.07 × 12,696.71
  4. Step 4: Simplify right side
    52,139.93x = 992,997,881.16
  5. Step 5: Solve for x
    x = 992,997,881.16/52,139.93
  6. Step 6: Final answer
    x = 19,044.86

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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.