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Finding the Fourth Proportional to 105,609.71, 145,741.38 and 63,178.22

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Solution

The fourth proportional to 105,609.71, 145,741.38 and 63,178.22 is: 87,185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,609.71 : 145,741.38 = 63,178.22 : x
  2. Step 2: Convert to fraction form
    105,609.71/145,741.38 = 63,178.22/x
  3. Step 3: Cross multiply
    105,609.71x = 145,741.38 × 63,178.22
  4. Step 4: Simplify right side
    105,609.71x = 9,207,680,968.74
  5. Step 5: Solve for x
    x = 9,207,680,968.74/105,609.71
  6. Step 6: Final answer
    x = 87,185.93

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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.