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Finding the Fourth Proportional to 106,912.80, 147,318.48 and 75,117.60

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Solution

The fourth proportional to 106,912.80, 147,318.48 and 75,117.60 is: 103,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,912.80 : 147,318.48 = 75,117.60 : x
  2. Step 2: Convert to fraction form
    106,912.80/147,318.48 = 75,117.60/x
  3. Step 3: Cross multiply
    106,912.80x = 147,318.48 × 75,117.60
  4. Step 4: Simplify right side
    106,912.80x = 11,066,210,653.25
  5. Step 5: Solve for x
    x = 11,066,210,653.25/106,912.80
  6. Step 6: Final answer
    x = 103,506.88

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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.