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Finding the Fourth Proportional to 105,102.56, 145,041.48 and 74,940.38

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Solution

The fourth proportional to 105,102.56, 145,041.48 and 74,940.38 is: 103,417.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,102.56 : 145,041.48 = 74,940.38 : x
  2. Step 2: Convert to fraction form
    105,102.56/145,041.48 = 74,940.38/x
  3. Step 3: Cross multiply
    105,102.56x = 145,041.48 × 74,940.38
  4. Step 4: Simplify right side
    105,102.56x = 10,869,463,626.96
  5. Step 5: Solve for x
    x = 10,869,463,626.96/105,102.56
  6. Step 6: Final answer
    x = 103,417.69

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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.