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Finding the Fourth Proportional to 106,476.70, 159,715.05 and 31,608.40

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Solution

The fourth proportional to 106,476.70, 159,715.05 and 31,608.40 is: 47,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,476.70 : 159,715.05 = 31,608.40 : x
  2. Step 2: Convert to fraction form
    106,476.70/159,715.05 = 31,608.40/x
  3. Step 3: Cross multiply
    106,476.70x = 159,715.05 × 31,608.40
  4. Step 4: Simplify right side
    106,476.70x = 5,048,337,186.42
  5. Step 5: Solve for x
    x = 5,048,337,186.42/106,476.70
  6. Step 6: Final answer
    x = 47,412.60

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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.