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Finding the Fourth Proportional to 52,486.80, 78,730.20 and 47,894.10

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Solution

The fourth proportional to 52,486.80, 78,730.20 and 47,894.10 is: 71,841.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,486.80 : 78,730.20 = 47,894.10 : x
  2. Step 2: Convert to fraction form
    52,486.80/78,730.20 = 47,894.10/x
  3. Step 3: Cross multiply
    52,486.80x = 78,730.20 × 47,894.10
  4. Step 4: Simplify right side
    52,486.80x = 3,770,712,071.82
  5. Step 5: Solve for x
    x = 3,770,712,071.82/52,486.80
  6. Step 6: Final answer
    x = 71,841.15

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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.