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Finding the Fourth Proportional to 292,031.76, 438,047.72 and 102,640.80

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Solution

The fourth proportional to 292,031.76, 438,047.72 and 102,640.80 is: 153,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,031.76 : 438,047.72 = 102,640.80 : x
  2. Step 2: Convert to fraction form
    292,031.76/438,047.72 = 102,640.80/x
  3. Step 3: Cross multiply
    292,031.76x = 438,047.72 × 102,640.80
  4. Step 4: Simplify right side
    292,031.76x = 44,961,568,418.98
  5. Step 5: Solve for x
    x = 44,961,568,418.98/292,031.76
  6. Step 6: Final answer
    x = 153,961.23

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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.