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Finding the Fourth Proportional to 52,113.86, 78,169.71 and 12,671.18

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Solution

The fourth proportional to 52,113.86, 78,169.71 and 12,671.18 is: 19,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,113.86 : 78,169.71 = 12,671.18 : x
  2. Step 2: Convert to fraction form
    52,113.86/78,169.71 = 12,671.18/x
  3. Step 3: Cross multiply
    52,113.86x = 78,169.71 × 12,671.18
  4. Step 4: Simplify right side
    52,113.86x = 990,502,465.96
  5. Step 5: Solve for x
    x = 990,502,465.96/52,113.86
  6. Step 6: Final answer
    x = 19,006.51

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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.