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Finding the Fourth Proportional to 143,610, 198,186.36 and 89,877.84

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Solution

The fourth proportional to 143,610, 198,186.36 and 89,877.84 is: 124,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,610 : 198,186.36 = 89,877.84 : x
  2. Step 2: Convert to fraction form
    143,610/198,186.36 = 89,877.84/x
  3. Step 3: Cross multiply
    143,610x = 198,186.36 × 89,877.84
  4. Step 4: Simplify right side
    143,610x = 17,812,561,954.26
  5. Step 5: Solve for x
    x = 17,812,561,954.26/143,610
  6. Step 6: Final answer
    x = 124,034.27

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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.