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Finding the Fourth Proportional to 105,513.66, 145,473.03 and 67,774.14

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Solution

The fourth proportional to 105,513.66, 145,473.03 and 67,774.14 is: 93,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,513.66 : 145,473.03 = 67,774.14 : x
  2. Step 2: Convert to fraction form
    105,513.66/145,473.03 = 67,774.14/x
  3. Step 3: Cross multiply
    105,513.66x = 145,473.03 × 67,774.14
  4. Step 4: Simplify right side
    105,513.66x = 9,859,309,501.44
  5. Step 5: Solve for x
    x = 9,859,309,501.44/105,513.66
  6. Step 6: Final answer
    x = 93,441.07

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1.5x scale

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.