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Finding the Fourth Proportional to 105,574.95, 145,693.44 and 57,828.42

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Solution

The fourth proportional to 105,574.95, 145,693.44 and 57,828.42 is: 79,803.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,574.95 : 145,693.44 = 57,828.42 : x
  2. Step 2: Convert to fraction form
    105,574.95/145,693.44 = 57,828.42/x
  3. Step 3: Cross multiply
    105,574.95x = 145,693.44 × 57,828.42
  4. Step 4: Simplify right side
    105,574.95x = 8,425,221,439.56
  5. Step 5: Solve for x
    x = 8,425,221,439.56/105,574.95
  6. Step 6: Final answer
    x = 79,803.22

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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.