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Finding the Fourth Proportional to 97,884, 146,826 and 42,480

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Solution

The fourth proportional to 97,884, 146,826 and 42,480 is: 63,720

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,884 : 146,826 = 42,480 : x
  2. Step 2: Convert to fraction form
    97,884/146,826 = 42,480/x
  3. Step 3: Cross multiply
    97,884x = 146,826 × 42,480
  4. Step 4: Simplify right side
    97,884x = 6,237,168,480
  5. Step 5: Solve for x
    x = 6,237,168,480/97,884
  6. Step 6: Final answer
    x = 63,720

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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.