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Finding the Fourth Proportional to 105,251.29, 145,248.87 and 57,507.60

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Solution

The fourth proportional to 105,251.29, 145,248.87 and 57,507.60 is: 79,361.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,251.29 : 145,248.87 = 57,507.60 : x
  2. Step 2: Convert to fraction form
    105,251.29/145,248.87 = 57,507.60/x
  3. Step 3: Cross multiply
    105,251.29x = 145,248.87 × 57,507.60
  4. Step 4: Simplify right side
    105,251.29x = 8,352,913,916.41
  5. Step 5: Solve for x
    x = 8,352,913,916.41/105,251.29
  6. Step 6: Final answer
    x = 79,361.63

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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.