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Finding the Fourth Proportional to 47,322.10, 65,302.20 and 28,201.44

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Solution

The fourth proportional to 47,322.10, 65,302.20 and 28,201.44 is: 38,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,322.10 : 65,302.20 = 28,201.44 : x
  2. Step 2: Convert to fraction form
    47,322.10/65,302.20 = 28,201.44/x
  3. Step 3: Cross multiply
    47,322.10x = 65,302.20 × 28,201.44
  4. Step 4: Simplify right side
    47,322.10x = 1,841,616,075.17
  5. Step 5: Solve for x
    x = 1,841,616,075.17/47,322.10
  6. Step 6: Final answer
    x = 38,916.62

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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.