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Finding the Fourth Proportional to 105,112, 145,057.62 and 57,368.40

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Solution

The fourth proportional to 105,112, 145,057.62 and 57,368.40 is: 79,170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,112 : 145,057.62 = 57,368.40 : x
  2. Step 2: Convert to fraction form
    105,112/145,057.62 = 57,368.40/x
  3. Step 3: Cross multiply
    105,112x = 145,057.62 × 57,368.40
  4. Step 4: Simplify right side
    105,112x = 8,321,723,567.21
  5. Step 5: Solve for x
    x = 8,321,723,567.21/105,112
  6. Step 6: Final answer
    x = 79,170.06

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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.