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Finding the Fourth Proportional to 70,106.60, 105,192.68 and 30,658.56

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Solution

The fourth proportional to 70,106.60, 105,192.68 and 30,658.56 is: 46,002.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,106.60 : 105,192.68 = 30,658.56 : x
  2. Step 2: Convert to fraction form
    70,106.60/105,192.68 = 30,658.56/x
  3. Step 3: Cross multiply
    70,106.60x = 105,192.68 × 30,658.56
  4. Step 4: Simplify right side
    70,106.60x = 3,225,056,091.34
  5. Step 5: Solve for x
    x = 3,225,056,091.34/70,106.60
  6. Step 6: Final answer
    x = 46,002.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.