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Finding the Fourth Proportional to 105,622.83, 145,778.64 and 67,394.25

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Solution

The fourth proportional to 105,622.83, 145,778.64 and 67,394.25 is: 93,016.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,622.83 : 145,778.64 = 67,394.25 : x
  2. Step 2: Convert to fraction form
    105,622.83/145,778.64 = 67,394.25/x
  3. Step 3: Cross multiply
    105,622.83x = 145,778.64 × 67,394.25
  4. Step 4: Simplify right side
    105,622.83x = 9,824,642,108.82
  5. Step 5: Solve for x
    x = 9,824,642,108.82/105,622.83
  6. Step 6: Final answer
    x = 93,016.27

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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.