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Finding the Fourth Proportional to 65,503.08, 90,390.30 and 38,654

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Solution

The fourth proportional to 65,503.08, 90,390.30 and 38,654 is: 53,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,503.08 : 90,390.30 = 38,654 : x
  2. Step 2: Convert to fraction form
    65,503.08/90,390.30 = 38,654/x
  3. Step 3: Cross multiply
    65,503.08x = 90,390.30 × 38,654
  4. Step 4: Simplify right side
    65,503.08x = 3,493,946,656.20
  5. Step 5: Solve for x
    x = 3,493,946,656.20/65,503.08
  6. Step 6: Final answer
    x = 53,340.19

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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.