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Finding the Fourth Proportional to 65,461.85, 98,192.85 and 21,095.21

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Solution

The fourth proportional to 65,461.85, 98,192.85 and 21,095.21 is: 31,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,461.85 : 98,192.85 = 21,095.21 : x
  2. Step 2: Convert to fraction form
    65,461.85/98,192.85 = 21,095.21/x
  3. Step 3: Cross multiply
    65,461.85x = 98,192.85 × 21,095.21
  4. Step 4: Simplify right side
    65,461.85x = 2,071,398,300.28
  5. Step 5: Solve for x
    x = 2,071,398,300.28/65,461.85
  6. Step 6: Final answer
    x = 31,642.83

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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.