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Finding the Fourth Proportional to 102,023.76, 140,809.50 and 85,001.01

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Solution

The fourth proportional to 102,023.76, 140,809.50 and 85,001.01 is: 117,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,023.76 : 140,809.50 = 85,001.01 : x
  2. Step 2: Convert to fraction form
    102,023.76/140,809.50 = 85,001.01/x
  3. Step 3: Cross multiply
    102,023.76x = 140,809.50 × 85,001.01
  4. Step 4: Simplify right side
    102,023.76x = 11,968,949,717.60
  5. Step 5: Solve for x
    x = 11,968,949,717.60/102,023.76
  6. Step 6: Final answer
    x = 117,315.32

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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.