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Finding the Fourth Proportional to 103,438.41, 155,032.20 and 47,201.46

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Solution

The fourth proportional to 103,438.41, 155,032.20 and 47,201.46 is: 70,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438.41 : 155,032.20 = 47,201.46 : x
  2. Step 2: Convert to fraction form
    103,438.41/155,032.20 = 47,201.46/x
  3. Step 3: Cross multiply
    103,438.41x = 155,032.20 × 47,201.46
  4. Step 4: Simplify right side
    103,438.41x = 7,317,746,187.01
  5. Step 5: Solve for x
    x = 7,317,746,187.01/103,438.41
  6. Step 6: Final answer
    x = 70,744.96

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1.5x scale

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.