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Finding the Fourth Proportional to 65,808.30, 98,690.30 and 21,424.62

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Solution

The fourth proportional to 65,808.30, 98,690.30 and 21,424.62 is: 32,129.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,808.30 : 98,690.30 = 21,424.62 : x
  2. Step 2: Convert to fraction form
    65,808.30/98,690.30 = 21,424.62/x
  3. Step 3: Cross multiply
    65,808.30x = 98,690.30 × 21,424.62
  4. Step 4: Simplify right side
    65,808.30x = 2,114,402,175.19
  5. Step 5: Solve for x
    x = 2,114,402,175.19/65,808.30
  6. Step 6: Final answer
    x = 32,129.72

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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.