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Finding the Fourth Proportional to 78,085.68, 117,128.04 and 18,921.28

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Solution

The fourth proportional to 78,085.68, 117,128.04 and 18,921.28 is: 28,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,085.68 : 117,128.04 = 18,921.28 : x
  2. Step 2: Convert to fraction form
    78,085.68/117,128.04 = 18,921.28/x
  3. Step 3: Cross multiply
    78,085.68x = 117,128.04 × 18,921.28
  4. Step 4: Simplify right side
    78,085.68x = 2,216,212,440.69
  5. Step 5: Solve for x
    x = 2,216,212,440.69/78,085.68
  6. Step 6: Final answer
    x = 28,381.80

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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.