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Finding the Fourth Proportional to 261,813.50, 361,302.63 and 142,581.50

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Solution

The fourth proportional to 261,813.50, 361,302.63 and 142,581.50 is: 196,762.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,813.50 : 361,302.63 = 142,581.50 : x
  2. Step 2: Convert to fraction form
    261,813.50/361,302.63 = 142,581.50/x
  3. Step 3: Cross multiply
    261,813.50x = 361,302.63 × 142,581.50
  4. Step 4: Simplify right side
    261,813.50x = 51,515,070,939.35
  5. Step 5: Solve for x
    x = 51,515,070,939.35/261,813.50
  6. Step 6: Final answer
    x = 196,762.47

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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.