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Finding the Fourth Proportional to 105,041.87, 157,541.18 and 30,145.31

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Solution

The fourth proportional to 105,041.87, 157,541.18 and 30,145.31 is: 45,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,041.87 : 157,541.18 = 30,145.31 : x
  2. Step 2: Convert to fraction form
    105,041.87/157,541.18 = 30,145.31/x
  3. Step 3: Cross multiply
    105,041.87x = 157,541.18 × 30,145.31
  4. Step 4: Simplify right side
    105,041.87x = 4,749,127,951.99
  5. Step 5: Solve for x
    x = 4,749,127,951.99/105,041.87
  6. Step 6: Final answer
    x = 45,211.76

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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.