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Finding the Fourth Proportional to 105,641.93, 145,782.56 and 57,894.41

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Solution

The fourth proportional to 105,641.93, 145,782.56 and 57,894.41 is: 79,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,641.93 : 145,782.56 = 57,894.41 : x
  2. Step 2: Convert to fraction form
    105,641.93/145,782.56 = 57,894.41/x
  3. Step 3: Cross multiply
    105,641.93x = 145,782.56 × 57,894.41
  4. Step 4: Simplify right side
    105,641.93x = 8,439,995,299.49
  5. Step 5: Solve for x
    x = 8,439,995,299.49/105,641.93
  6. Step 6: Final answer
    x = 79,892.48

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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.