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Finding the Fourth Proportional to 105,407.64, 145,522.74 and 69,701.22

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Solution

The fourth proportional to 105,407.64, 145,522.74 and 69,701.22 is: 96,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,407.64 : 145,522.74 = 69,701.22 : x
  2. Step 2: Convert to fraction form
    105,407.64/145,522.74 = 69,701.22/x
  3. Step 3: Cross multiply
    105,407.64x = 145,522.74 × 69,701.22
  4. Step 4: Simplify right side
    105,407.64x = 10,143,112,515.74
  5. Step 5: Solve for x
    x = 10,143,112,515.74/105,407.64
  6. Step 6: Final answer
    x = 96,227.49

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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.