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Finding the Fourth Proportional to 292,137, 438,161.56 and 92,431.40

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Solution

The fourth proportional to 292,137, 438,161.56 and 92,431.40 is: 138,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,137 : 438,161.56 = 92,431.40 : x
  2. Step 2: Convert to fraction form
    292,137/438,161.56 = 92,431.40/x
  3. Step 3: Cross multiply
    292,137x = 438,161.56 × 92,431.40
  4. Step 4: Simplify right side
    292,137x = 40,499,886,416.98
  5. Step 5: Solve for x
    x = 40,499,886,416.98/292,137
  6. Step 6: Final answer
    x = 138,633.20

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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.