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Finding the Fourth Proportional to 104,702, 157,103.40 and 52,116.08

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Solution

The fourth proportional to 104,702, 157,103.40 and 52,116.08 is: 78,199.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,702 : 157,103.40 = 52,116.08 : x
  2. Step 2: Convert to fraction form
    104,702/157,103.40 = 52,116.08/x
  3. Step 3: Cross multiply
    104,702x = 157,103.40 × 52,116.08
  4. Step 4: Simplify right side
    104,702x = 8,187,613,362.67
  5. Step 5: Solve for x
    x = 8,187,613,362.67/104,702
  6. Step 6: Final answer
    x = 78,199.21

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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.