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Finding the Fourth Proportional to 201,686.88, 302,530.34 and 61,445.50

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Solution

The fourth proportional to 201,686.88, 302,530.34 and 61,445.50 is: 92,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,686.88 : 302,530.34 = 61,445.50 : x
  2. Step 2: Convert to fraction form
    201,686.88/302,530.34 = 61,445.50/x
  3. Step 3: Cross multiply
    201,686.88x = 302,530.34 × 61,445.50
  4. Step 4: Simplify right side
    201,686.88x = 18,589,128,006.47
  5. Step 5: Solve for x
    x = 18,589,128,006.47/201,686.88
  6. Step 6: Final answer
    x = 92,168.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.