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Finding the Fourth Proportional to 105,602.86, 145,732.06 and 57,204.90

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Solution

The fourth proportional to 105,602.86, 145,732.06 and 57,204.90 is: 78,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,602.86 : 145,732.06 = 57,204.90 : x
  2. Step 2: Convert to fraction form
    105,602.86/145,732.06 = 57,204.90/x
  3. Step 3: Cross multiply
    105,602.86x = 145,732.06 × 57,204.90
  4. Step 4: Simplify right side
    105,602.86x = 8,336,587,919.09
  5. Step 5: Solve for x
    x = 8,336,587,919.09/105,602.86
  6. Step 6: Final answer
    x = 78,942.82

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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.