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Finding the Fourth Proportional to 105,222.87, 157,857.62 and 30,337.17

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Solution

The fourth proportional to 105,222.87, 157,857.62 and 30,337.17 is: 45,512.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,222.87 : 157,857.62 = 30,337.17 : x
  2. Step 2: Convert to fraction form
    105,222.87/157,857.62 = 30,337.17/x
  3. Step 3: Cross multiply
    105,222.87x = 157,857.62 × 30,337.17
  4. Step 4: Simplify right side
    105,222.87x = 4,788,952,512.76
  5. Step 5: Solve for x
    x = 4,788,952,512.76/105,222.87
  6. Step 6: Final answer
    x = 45,512.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.