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Finding the Fourth Proportional to 103,417.91, 154,983.35 and 47,120.43

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Solution

The fourth proportional to 103,417.91, 154,983.35 and 47,120.43 is: 70,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,417.91 : 154,983.35 = 47,120.43 : x
  2. Step 2: Convert to fraction form
    103,417.91/154,983.35 = 47,120.43/x
  3. Step 3: Cross multiply
    103,417.91x = 154,983.35 × 47,120.43
  4. Step 4: Simplify right side
    103,417.91x = 7,302,882,661.30
  5. Step 5: Solve for x
    x = 7,302,882,661.30/103,417.91
  6. Step 6: Final answer
    x = 70,615.26

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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.