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Finding the Fourth Proportional to 148,714.60, 205,222.70 and 85,048.60

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Solution

The fourth proportional to 148,714.60, 205,222.70 and 85,048.60 is: 117,365.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,714.60 : 205,222.70 = 85,048.60 : x
  2. Step 2: Convert to fraction form
    148,714.60/205,222.70 = 85,048.60/x
  3. Step 3: Cross multiply
    148,714.60x = 205,222.70 × 85,048.60
  4. Step 4: Simplify right side
    148,714.60x = 17,453,903,323.22
  5. Step 5: Solve for x
    x = 17,453,903,323.22/148,714.60
  6. Step 6: Final answer
    x = 117,365.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.