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Finding the Fourth Proportional to 104,784.53, 156,416.03 and 96,978.56

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Solution

The fourth proportional to 104,784.53, 156,416.03 and 96,978.56 is: 144,763.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,784.53 : 156,416.03 = 96,978.56 : x
  2. Step 2: Convert to fraction form
    104,784.53/156,416.03 = 96,978.56/x
  3. Step 3: Cross multiply
    104,784.53x = 156,416.03 × 96,978.56
  4. Step 4: Simplify right side
    104,784.53x = 15,169,000,083.34
  5. Step 5: Solve for x
    x = 15,169,000,083.34/104,784.53
  6. Step 6: Final answer
    x = 144,763.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.