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Finding the Fourth Proportional to 261,837.50, 361,335.75 and 142,605.50

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Solution

The fourth proportional to 261,837.50, 361,335.75 and 142,605.50 is: 196,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,837.50 : 361,335.75 = 142,605.50 : x
  2. Step 2: Convert to fraction form
    261,837.50/361,335.75 = 142,605.50/x
  3. Step 3: Cross multiply
    261,837.50x = 361,335.75 × 142,605.50
  4. Step 4: Simplify right side
    261,837.50x = 51,528,465,296.63
  5. Step 5: Solve for x
    x = 51,528,465,296.63/261,837.50
  6. Step 6: Final answer
    x = 196,795.59

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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.