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Finding the Fourth Proportional to 52,186, 72,016.86 and 28,312.78

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Solution

The fourth proportional to 52,186, 72,016.86 and 28,312.78 is: 39,071.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,186 : 72,016.86 = 28,312.78 : x
  2. Step 2: Convert to fraction form
    52,186/72,016.86 = 28,312.78/x
  3. Step 3: Cross multiply
    52,186x = 72,016.86 × 28,312.78
  4. Step 4: Simplify right side
    52,186x = 2,038,997,513.47
  5. Step 5: Solve for x
    x = 2,038,997,513.47/52,186
  6. Step 6: Final answer
    x = 39,071.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.