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Finding the Fourth Proportional to 170,859.10, 256,211.85 and 65,643.10

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Solution

The fourth proportional to 170,859.10, 256,211.85 and 65,643.10 is: 98,435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,859.10 : 256,211.85 = 65,643.10 : x
  2. Step 2: Convert to fraction form
    170,859.10/256,211.85 = 65,643.10/x
  3. Step 3: Cross multiply
    170,859.10x = 256,211.85 × 65,643.10
  4. Step 4: Simplify right side
    170,859.10x = 16,818,540,090.74
  5. Step 5: Solve for x
    x = 16,818,540,090.74/170,859.10
  6. Step 6: Final answer
    x = 98,435.14

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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.