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Finding the Fourth Proportional to 148,612.91, 205,089.36 and 84,956.63

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Solution

The fourth proportional to 148,612.91, 205,089.36 and 84,956.63 is: 117,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,612.91 : 205,089.36 = 84,956.63 : x
  2. Step 2: Convert to fraction form
    148,612.91/205,089.36 = 84,956.63/x
  3. Step 3: Cross multiply
    148,612.91x = 205,089.36 × 84,956.63
  4. Step 4: Simplify right side
    148,612.91x = 17,423,700,874.46
  5. Step 5: Solve for x
    x = 17,423,700,874.46/148,612.91
  6. Step 6: Final answer
    x = 117,242.18

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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.