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Finding the Fourth Proportional to 103,812.84, 143,112.42 and 73,953

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Solution

The fourth proportional to 103,812.84, 143,112.42 and 73,953 is: 101,948.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,812.84 : 143,112.42 = 73,953 : x
  2. Step 2: Convert to fraction form
    103,812.84/143,112.42 = 73,953/x
  3. Step 3: Cross multiply
    103,812.84x = 143,112.42 × 73,953
  4. Step 4: Simplify right side
    103,812.84x = 10,583,592,796.26
  5. Step 5: Solve for x
    x = 10,583,592,796.26/103,812.84
  6. Step 6: Final answer
    x = 101,948.78

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1.5x scale

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.