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Finding the Fourth Proportional to 105,534.56, 145,608.81 and 67,830.68

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Solution

The fourth proportional to 105,534.56, 145,608.81 and 67,830.68 is: 93,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,534.56 : 145,608.81 = 67,830.68 : x
  2. Step 2: Convert to fraction form
    105,534.56/145,608.81 = 67,830.68/x
  3. Step 3: Cross multiply
    105,534.56x = 145,608.81 × 67,830.68
  4. Step 4: Simplify right side
    105,534.56x = 9,876,744,596.29
  5. Step 5: Solve for x
    x = 9,876,744,596.29/105,534.56
  6. Step 6: Final answer
    x = 93,587.77

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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.