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Finding the Fourth Proportional to 78,717.63, 108,631.46 and 42,907.64

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Solution

The fourth proportional to 78,717.63, 108,631.46 and 42,907.64 is: 59,213.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,717.63 : 108,631.46 = 42,907.64 : x
  2. Step 2: Convert to fraction form
    78,717.63/108,631.46 = 42,907.64/x
  3. Step 3: Cross multiply
    78,717.63x = 108,631.46 × 42,907.64
  4. Step 4: Simplify right side
    78,717.63x = 4,661,119,957.20
  5. Step 5: Solve for x
    x = 4,661,119,957.20/78,717.63
  6. Step 6: Final answer
    x = 59,213.16

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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.