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Finding the Fourth Proportional to 105,217.20, 157,825.80 and 65,851.20

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Solution

The fourth proportional to 105,217.20, 157,825.80 and 65,851.20 is: 98,776.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,217.20 : 157,825.80 = 65,851.20 : x
  2. Step 2: Convert to fraction form
    105,217.20/157,825.80 = 65,851.20/x
  3. Step 3: Cross multiply
    105,217.20x = 157,825.80 × 65,851.20
  4. Step 4: Simplify right side
    105,217.20x = 10,393,018,320.96
  5. Step 5: Solve for x
    x = 10,393,018,320.96/105,217.20
  6. Step 6: Final answer
    x = 98,776.80

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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.