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Finding the Fourth Proportional to 261,666.86, 361,109 and 146,965.72

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Solution

The fourth proportional to 261,666.86, 361,109 and 146,965.72 is: 202,817.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,666.86 : 361,109 = 146,965.72 : x
  2. Step 2: Convert to fraction form
    261,666.86/361,109 = 146,965.72/x
  3. Step 3: Cross multiply
    261,666.86x = 361,109 × 146,965.72
  4. Step 4: Simplify right side
    261,666.86x = 53,070,644,183.48
  5. Step 5: Solve for x
    x = 53,070,644,183.48/261,666.86
  6. Step 6: Final answer
    x = 202,817.60

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1.5x scale

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.