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Finding the Fourth Proportional to 101,105.84, 151,678.12 and 30,985.76

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Solution

The fourth proportional to 101,105.84, 151,678.12 and 30,985.76 is: 46,484.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,105.84 : 151,678.12 = 30,985.76 : x
  2. Step 2: Convert to fraction form
    101,105.84/151,678.12 = 30,985.76/x
  3. Step 3: Cross multiply
    101,105.84x = 151,678.12 × 30,985.76
  4. Step 4: Simplify right side
    101,105.84x = 4,699,861,823.57
  5. Step 5: Solve for x
    x = 4,699,861,823.57/101,105.84
  6. Step 6: Final answer
    x = 46,484.57

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1.5x scale

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.