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Finding the Fourth Proportional to 102,355.91, 153,620.13 and 43,234.01

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Solution

The fourth proportional to 102,355.91, 153,620.13 and 43,234.01 is: 64,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,355.91 : 153,620.13 = 43,234.01 : x
  2. Step 2: Convert to fraction form
    102,355.91/153,620.13 = 43,234.01/x
  3. Step 3: Cross multiply
    102,355.91x = 153,620.13 × 43,234.01
  4. Step 4: Simplify right side
    102,355.91x = 6,641,613,468.52
  5. Step 5: Solve for x
    x = 6,641,613,468.52/102,355.91
  6. Step 6: Final answer
    x = 64,887.45

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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.