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Finding the Fourth Proportional to 105,532.56, 145,606.05 and 67,828.68

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Solution

The fourth proportional to 105,532.56, 145,606.05 and 67,828.68 is: 93,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,532.56 : 145,606.05 = 67,828.68 : x
  2. Step 2: Convert to fraction form
    105,532.56/145,606.05 = 67,828.68/x
  3. Step 3: Cross multiply
    105,532.56x = 145,606.05 × 67,828.68
  4. Step 4: Simplify right side
    105,532.56x = 9,876,266,171.51
  5. Step 5: Solve for x
    x = 9,876,266,171.51/105,532.56
  6. Step 6: Final answer
    x = 93,585.01

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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.