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Finding the Fourth Proportional to 105,687.45, 145,857.87 and 57,950.10

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Solution

The fourth proportional to 105,687.45, 145,857.87 and 57,950.10 is: 79,976.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,687.45 : 145,857.87 = 57,950.10 : x
  2. Step 2: Convert to fraction form
    105,687.45/145,857.87 = 57,950.10/x
  3. Step 3: Cross multiply
    105,687.45x = 145,857.87 × 57,950.10
  4. Step 4: Simplify right side
    105,687.45x = 8,452,478,152.29
  5. Step 5: Solve for x
    x = 8,452,478,152.29/105,687.45
  6. Step 6: Final answer
    x = 79,976.18

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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.