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Finding the Fourth Proportional to 105,219.64, 145,200.99 and 59,896.65

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Solution

The fourth proportional to 105,219.64, 145,200.99 and 59,896.65 is: 82,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,219.64 : 145,200.99 = 59,896.65 : x
  2. Step 2: Convert to fraction form
    105,219.64/145,200.99 = 59,896.65/x
  3. Step 3: Cross multiply
    105,219.64x = 145,200.99 × 59,896.65
  4. Step 4: Simplify right side
    105,219.64x = 8,697,052,877.68
  5. Step 5: Solve for x
    x = 8,697,052,877.68/105,219.64
  6. Step 6: Final answer
    x = 82,656.17

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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.