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Finding the Fourth Proportional to 91,428.60, 137,083.70 and 38,823.80

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Solution

The fourth proportional to 91,428.60, 137,083.70 and 38,823.80 is: 58,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,428.60 : 137,083.70 = 38,823.80 : x
  2. Step 2: Convert to fraction form
    91,428.60/137,083.70 = 38,823.80/x
  3. Step 3: Cross multiply
    91,428.60x = 137,083.70 × 38,823.80
  4. Step 4: Simplify right side
    91,428.60x = 5,322,110,152.06
  5. Step 5: Solve for x
    x = 5,322,110,152.06/91,428.60
  6. Step 6: Final answer
    x = 58,210.56

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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.