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Finding the Fourth Proportional to 102,897.44, 154,352.12 and 39,717.90

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Solution

The fourth proportional to 102,897.44, 154,352.12 and 39,717.90 is: 59,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,897.44 : 154,352.12 = 39,717.90 : x
  2. Step 2: Convert to fraction form
    102,897.44/154,352.12 = 39,717.90/x
  3. Step 3: Cross multiply
    102,897.44x = 154,352.12 × 39,717.90
  4. Step 4: Simplify right side
    102,897.44x = 6,130,542,066.95
  5. Step 5: Solve for x
    x = 6,130,542,066.95/102,897.44
  6. Step 6: Final answer
    x = 59,579.15

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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.