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Finding the Fourth Proportional to 103,807.75, 155,722.56 and 47,638.30

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Solution

The fourth proportional to 103,807.75, 155,722.56 and 47,638.30 is: 71,462.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,807.75 : 155,722.56 = 47,638.30 : x
  2. Step 2: Convert to fraction form
    103,807.75/155,722.56 = 47,638.30/x
  3. Step 3: Cross multiply
    103,807.75x = 155,722.56 × 47,638.30
  4. Step 4: Simplify right side
    103,807.75x = 7,418,358,030.05
  5. Step 5: Solve for x
    x = 7,418,358,030.05/103,807.75
  6. Step 6: Final answer
    x = 71,462.47

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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.