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Finding the Fourth Proportional to 86,644, 119,569.08 and 46,900

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Solution

The fourth proportional to 86,644, 119,569.08 and 46,900 is: 64,722.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,644 : 119,569.08 = 46,900 : x
  2. Step 2: Convert to fraction form
    86,644/119,569.08 = 46,900/x
  3. Step 3: Cross multiply
    86,644x = 119,569.08 × 46,900
  4. Step 4: Simplify right side
    86,644x = 5,607,789,852
  5. Step 5: Solve for x
    x = 5,607,789,852/86,644
  6. Step 6: Final answer
    x = 64,722.19

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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.