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Finding the Fourth Proportional to 104,845.30, 156,898.59 and 85,897.78

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Solution

The fourth proportional to 104,845.30, 156,898.59 and 85,897.78 is: 128,544.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,845.30 : 156,898.59 = 85,897.78 : x
  2. Step 2: Convert to fraction form
    104,845.30/156,898.59 = 85,897.78/x
  3. Step 3: Cross multiply
    104,845.30x = 156,898.59 × 85,897.78
  4. Step 4: Simplify right side
    104,845.30x = 13,477,240,566.13
  5. Step 5: Solve for x
    x = 13,477,240,566.13/104,845.30
  6. Step 6: Final answer
    x = 128,544.06

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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.