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Finding the Fourth Proportional to 105,072.96, 157,478.09 and 67,533.12

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Solution

The fourth proportional to 105,072.96, 157,478.09 and 67,533.12 is: 101,215.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,072.96 : 157,478.09 = 67,533.12 : x
  2. Step 2: Convert to fraction form
    105,072.96/157,478.09 = 67,533.12/x
  3. Step 3: Cross multiply
    105,072.96x = 157,478.09 × 67,533.12
  4. Step 4: Simplify right side
    105,072.96x = 10,634,985,624.28
  5. Step 5: Solve for x
    x = 10,634,985,624.28/105,072.96
  6. Step 6: Final answer
    x = 101,215.25

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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.