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Finding the Fourth Proportional to 105,647.71, 145,795.13 and 57,900.04

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Solution

The fourth proportional to 105,647.71, 145,795.13 and 57,900.04 is: 79,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,647.71 : 145,795.13 = 57,900.04 : x
  2. Step 2: Convert to fraction form
    105,647.71/145,795.13 = 57,900.04/x
  3. Step 3: Cross multiply
    105,647.71x = 145,795.13 × 57,900.04
  4. Step 4: Simplify right side
    105,647.71x = 8,441,543,858.81
  5. Step 5: Solve for x
    x = 8,441,543,858.81/105,647.71
  6. Step 6: Final answer
    x = 79,902.76

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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.