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Finding the Fourth Proportional to 147,410.98, 203,401.65 and 86,977.06

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Solution

The fourth proportional to 147,410.98, 203,401.65 and 86,977.06 is: 120,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,410.98 : 203,401.65 = 86,977.06 : x
  2. Step 2: Convert to fraction form
    147,410.98/203,401.65 = 86,977.06/x
  3. Step 3: Cross multiply
    147,410.98x = 203,401.65 × 86,977.06
  4. Step 4: Simplify right side
    147,410.98x = 17,691,277,516.15
  5. Step 5: Solve for x
    x = 17,691,277,516.15/147,410.98
  6. Step 6: Final answer
    x = 120,013.30

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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.