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Finding the Fourth Proportional to 86,219.10, 129,219 and 38,783.48

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Solution

The fourth proportional to 86,219.10, 129,219 and 38,783.48 is: 58,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,219.10 : 129,219 = 38,783.48 : x
  2. Step 2: Convert to fraction form
    86,219.10/129,219 = 38,783.48/x
  3. Step 3: Cross multiply
    86,219.10x = 129,219 × 38,783.48
  4. Step 4: Simplify right side
    86,219.10x = 5,011,562,502.12
  5. Step 5: Solve for x
    x = 5,011,562,502.12/86,219.10
  6. Step 6: Final answer
    x = 58,125.90

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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.