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Finding the Fourth Proportional to 78,703.32, 118,057.86 and 31,955.16

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Solution

The fourth proportional to 78,703.32, 118,057.86 and 31,955.16 is: 47,933.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,703.32 : 118,057.86 = 31,955.16 : x
  2. Step 2: Convert to fraction form
    78,703.32/118,057.86 = 31,955.16/x
  3. Step 3: Cross multiply
    78,703.32x = 118,057.86 × 31,955.16
  4. Step 4: Simplify right side
    78,703.32x = 3,772,557,805.56
  5. Step 5: Solve for x
    x = 3,772,557,805.56/78,703.32
  6. Step 6: Final answer
    x = 47,933.91

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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.