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Finding the Fourth Proportional to 52,314.51, 78,472 and 12,871.51

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Solution

The fourth proportional to 52,314.51, 78,472 and 12,871.51 is: 19,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,314.51 : 78,472 = 12,871.51 : x
  2. Step 2: Convert to fraction form
    52,314.51/78,472 = 12,871.51/x
  3. Step 3: Cross multiply
    52,314.51x = 78,472 × 12,871.51
  4. Step 4: Simplify right side
    52,314.51x = 1,010,053,132.72
  5. Step 5: Solve for x
    x = 1,010,053,132.72/52,314.51
  6. Step 6: Final answer
    x = 19,307.32

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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.