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Finding the Fourth Proportional to 98,168.58, 147,231 and 45,549.36

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Solution

The fourth proportional to 98,168.58, 147,231 and 45,549.36 is: 68,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,168.58 : 147,231 = 45,549.36 : x
  2. Step 2: Convert to fraction form
    98,168.58/147,231 = 45,549.36/x
  3. Step 3: Cross multiply
    98,168.58x = 147,231 × 45,549.36
  4. Step 4: Simplify right side
    98,168.58x = 6,706,277,822.16
  5. Step 5: Solve for x
    x = 6,706,277,822.16/98,168.58
  6. Step 6: Final answer
    x = 68,313.89

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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.