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Finding the Fourth Proportional to 261,898.32, 361,419.72 and 142,666.32

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Solution

The fourth proportional to 261,898.32, 361,419.72 and 142,666.32 is: 196,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,898.32 : 361,419.72 = 142,666.32 : x
  2. Step 2: Convert to fraction form
    261,898.32/361,419.72 = 142,666.32/x
  3. Step 3: Cross multiply
    261,898.32x = 361,419.72 × 142,666.32
  4. Step 4: Simplify right side
    261,898.32x = 51,562,421,427.83
  5. Step 5: Solve for x
    x = 51,562,421,427.83/261,898.32
  6. Step 6: Final answer
    x = 196,879.54

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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.