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Finding the Fourth Proportional to 106,930.70, 147,412.24 and 72,895.51

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Solution

The fourth proportional to 106,930.70, 147,412.24 and 72,895.51 is: 100,492.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,930.70 : 147,412.24 = 72,895.51 : x
  2. Step 2: Convert to fraction form
    106,930.70/147,412.24 = 72,895.51/x
  3. Step 3: Cross multiply
    106,930.70x = 147,412.24 × 72,895.51
  4. Step 4: Simplify right side
    106,930.70x = 10,745,689,313.50
  5. Step 5: Solve for x
    x = 10,745,689,313.50/106,930.70
  6. Step 6: Final answer
    x = 100,492.09

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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.