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Finding the Fourth Proportional to 105,503.81, 145,597.82 and 57,757.01

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Solution

The fourth proportional to 105,503.81, 145,597.82 and 57,757.01 is: 79,706.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,503.81 : 145,597.82 = 57,757.01 : x
  2. Step 2: Convert to fraction form
    105,503.81/145,597.82 = 57,757.01/x
  3. Step 3: Cross multiply
    105,503.81x = 145,597.82 × 57,757.01
  4. Step 4: Simplify right side
    105,503.81x = 8,409,293,728.94
  5. Step 5: Solve for x
    x = 8,409,293,728.94/105,503.81
  6. Step 6: Final answer
    x = 79,706.07

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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.