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Finding the Fourth Proportional to 265,739, 366,719.82 and 146,507

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Solution

The fourth proportional to 265,739, 366,719.82 and 146,507 is: 202,179.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,739 : 366,719.82 = 146,507 : x
  2. Step 2: Convert to fraction form
    265,739/366,719.82 = 146,507/x
  3. Step 3: Cross multiply
    265,739x = 366,719.82 × 146,507
  4. Step 4: Simplify right side
    265,739x = 53,727,020,668.74
  5. Step 5: Solve for x
    x = 53,727,020,668.74/265,739
  6. Step 6: Final answer
    x = 202,179.66

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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.