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Finding the Fourth Proportional to 102,315.54, 153,401.83 and 45,358.47

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Solution

The fourth proportional to 102,315.54, 153,401.83 and 45,358.47 is: 68,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,315.54 : 153,401.83 = 45,358.47 : x
  2. Step 2: Convert to fraction form
    102,315.54/153,401.83 = 45,358.47/x
  3. Step 3: Cross multiply
    102,315.54x = 153,401.83 × 45,358.47
  4. Step 4: Simplify right side
    102,315.54x = 6,958,072,304.00
  5. Step 5: Solve for x
    x = 6,958,072,304.00/102,315.54
  6. Step 6: Final answer
    x = 68,006.02

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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.