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Finding the Fourth Proportional to 105,397, 145,495.29 and 67,207.74

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Solution

The fourth proportional to 105,397, 145,495.29 and 67,207.74 is: 92,776.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,397 : 145,495.29 = 67,207.74 : x
  2. Step 2: Convert to fraction form
    105,397/145,495.29 = 67,207.74/x
  3. Step 3: Cross multiply
    105,397x = 145,495.29 × 67,207.74
  4. Step 4: Simplify right side
    105,397x = 9,778,409,621.54
  5. Step 5: Solve for x
    x = 9,778,409,621.54/105,397
  6. Step 6: Final answer
    x = 92,776.93

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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.