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Finding the Fourth Proportional to 123,956.20, 186,107.10 and 77,300.20

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Solution

The fourth proportional to 123,956.20, 186,107.10 and 77,300.20 is: 116,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,956.20 : 186,107.10 = 77,300.20 : x
  2. Step 2: Convert to fraction form
    123,956.20/186,107.10 = 77,300.20/x
  3. Step 3: Cross multiply
    123,956.20x = 186,107.10 × 77,300.20
  4. Step 4: Simplify right side
    123,956.20x = 14,386,116,051.42
  5. Step 5: Solve for x
    x = 14,386,116,051.42/123,956.20
  6. Step 6: Final answer
    x = 116,058.06

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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.