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Finding the Fourth Proportional to 78,973.76, 108,932.64 and 47,118.08

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Solution

The fourth proportional to 78,973.76, 108,932.64 and 47,118.08 is: 64,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,973.76 : 108,932.64 = 47,118.08 : x
  2. Step 2: Convert to fraction form
    78,973.76/108,932.64 = 47,118.08/x
  3. Step 3: Cross multiply
    78,973.76x = 108,932.64 × 47,118.08
  4. Step 4: Simplify right side
    78,973.76x = 5,132,696,846.13
  5. Step 5: Solve for x
    x = 5,132,696,846.13/78,973.76
  6. Step 6: Final answer
    x = 64,992.43

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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.