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Finding the Fourth Proportional to 105,504.81, 145,599.20 and 57,758.01

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Solution

The fourth proportional to 105,504.81, 145,599.20 and 57,758.01 is: 79,707.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,504.81 : 145,599.20 = 57,758.01 : x
  2. Step 2: Convert to fraction form
    105,504.81/145,599.20 = 57,758.01/x
  3. Step 3: Cross multiply
    105,504.81x = 145,599.20 × 57,758.01
  4. Step 4: Simplify right side
    105,504.81x = 8,409,520,049.59
  5. Step 5: Solve for x
    x = 8,409,520,049.59/105,504.81
  6. Step 6: Final answer
    x = 79,707.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.