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Finding the Fourth Proportional to 148,940.57, 205,487.69 and 84,403.01

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Solution

The fourth proportional to 148,940.57, 205,487.69 and 84,403.01 is: 116,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,940.57 : 205,487.69 = 84,403.01 : x
  2. Step 2: Convert to fraction form
    148,940.57/205,487.69 = 84,403.01/x
  3. Step 3: Cross multiply
    148,940.57x = 205,487.69 × 84,403.01
  4. Step 4: Simplify right side
    148,940.57x = 17,343,779,645.65
  5. Step 5: Solve for x
    x = 17,343,779,645.65/148,940.57
  6. Step 6: Final answer
    x = 116,447.65

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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.