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Finding the Fourth Proportional to 74,487, 102,816 and 47,701.68

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Solution

The fourth proportional to 74,487, 102,816 and 47,701.68 is: 65,843.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,487 : 102,816 = 47,701.68 : x
  2. Step 2: Convert to fraction form
    74,487/102,816 = 47,701.68/x
  3. Step 3: Cross multiply
    74,487x = 102,816 × 47,701.68
  4. Step 4: Simplify right side
    74,487x = 4,904,495,930.88
  5. Step 5: Solve for x
    x = 4,904,495,930.88/74,487
  6. Step 6: Final answer
    x = 65,843.65

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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.