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Finding the Fourth Proportional to 47,688, 65,809.44 and 30,921

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Solution

The fourth proportional to 47,688, 65,809.44 and 30,921 is: 42,670.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,688 : 65,809.44 = 30,921 : x
  2. Step 2: Convert to fraction form
    47,688/65,809.44 = 30,921/x
  3. Step 3: Cross multiply
    47,688x = 65,809.44 × 30,921
  4. Step 4: Simplify right side
    47,688x = 2,034,893,694.24
  5. Step 5: Solve for x
    x = 2,034,893,694.24/47,688
  6. Step 6: Final answer
    x = 42,670.98

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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.