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Finding the Fourth Proportional to 105,422.65, 145,484.31 and 57,678.01

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Solution

The fourth proportional to 105,422.65, 145,484.31 and 57,678.01 is: 79,596.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422.65 : 145,484.31 = 57,678.01 : x
  2. Step 2: Convert to fraction form
    105,422.65/145,484.31 = 57,678.01/x
  3. Step 3: Cross multiply
    105,422.65x = 145,484.31 × 57,678.01
  4. Step 4: Simplify right side
    105,422.65x = 8,391,245,487.02
  5. Step 5: Solve for x
    x = 8,391,245,487.02/105,422.65
  6. Step 6: Final answer
    x = 79,596.23

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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.