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Finding the Fourth Proportional to 105,130.68, 157,635.42 and 71,891.01

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Solution

The fourth proportional to 105,130.68, 157,635.42 and 71,891.01 is: 107,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,130.68 : 157,635.42 = 71,891.01 : x
  2. Step 2: Convert to fraction form
    105,130.68/157,635.42 = 71,891.01/x
  3. Step 3: Cross multiply
    105,130.68x = 157,635.42 × 71,891.01
  4. Step 4: Simplify right side
    105,130.68x = 11,332,569,285.98
  5. Step 5: Solve for x
    x = 11,332,569,285.98/105,130.68
  6. Step 6: Final answer
    x = 107,795.08

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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.