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Finding the Fourth Proportional to 29,031.17, 40,078.14 and 22,556.40

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Solution

The fourth proportional to 29,031.17, 40,078.14 and 22,556.40 is: 31,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,031.17 : 40,078.14 = 22,556.40 : x
  2. Step 2: Convert to fraction form
    29,031.17/40,078.14 = 22,556.40/x
  3. Step 3: Cross multiply
    29,031.17x = 40,078.14 × 22,556.40
  4. Step 4: Simplify right side
    29,031.17x = 904,018,561.82
  5. Step 5: Solve for x
    x = 904,018,561.82/29,031.17
  6. Step 6: Final answer
    x = 31,139.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.