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Finding the Fourth Proportional to 78,886.72, 118,330.80 and 26,296

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Solution

The fourth proportional to 78,886.72, 118,330.80 and 26,296 is: 39,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,886.72 : 118,330.80 = 26,296 : x
  2. Step 2: Convert to fraction form
    78,886.72/118,330.80 = 26,296/x
  3. Step 3: Cross multiply
    78,886.72x = 118,330.80 × 26,296
  4. Step 4: Simplify right side
    78,886.72x = 3,111,626,716.80
  5. Step 5: Solve for x
    x = 3,111,626,716.80/78,886.72
  6. Step 6: Final answer
    x = 39,444.24

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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.