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Finding the Fourth Proportional to 103,457.28, 142,825.56 and 69,643.56

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Solution

The fourth proportional to 103,457.28, 142,825.56 and 69,643.56 is: 96,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,457.28 : 142,825.56 = 69,643.56 : x
  2. Step 2: Convert to fraction form
    103,457.28/142,825.56 = 69,643.56/x
  3. Step 3: Cross multiply
    103,457.28x = 142,825.56 × 69,643.56
  4. Step 4: Simplify right side
    103,457.28x = 9,946,880,457.39
  5. Step 5: Solve for x
    x = 9,946,880,457.39/103,457.28
  6. Step 6: Final answer
    x = 96,144.81

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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.