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Finding the Fourth Proportional to 102,666.40, 154,021.20 and 43,471.60

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Solution

The fourth proportional to 102,666.40, 154,021.20 and 43,471.60 is: 65,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,666.40 : 154,021.20 = 43,471.60 : x
  2. Step 2: Convert to fraction form
    102,666.40/154,021.20 = 43,471.60/x
  3. Step 3: Cross multiply
    102,666.40x = 154,021.20 × 43,471.60
  4. Step 4: Simplify right side
    102,666.40x = 6,695,547,997.92
  5. Step 5: Solve for x
    x = 6,695,547,997.92/102,666.40
  6. Step 6: Final answer
    x = 65,216.55

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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.