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Finding the Fourth Proportional to 65,051, 89,770.40 and 35,243

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Solution

The fourth proportional to 65,051, 89,770.40 and 35,243 is: 48,635.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,051 : 89,770.40 = 35,243 : x
  2. Step 2: Convert to fraction form
    65,051/89,770.40 = 35,243/x
  3. Step 3: Cross multiply
    65,051x = 89,770.40 × 35,243
  4. Step 4: Simplify right side
    65,051x = 3,163,778,207.20
  5. Step 5: Solve for x
    x = 3,163,778,207.20/65,051
  6. Step 6: Final answer
    x = 48,635.35

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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.