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Finding the Fourth Proportional to 150,529.32, 207,722.34 and 83,457

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Solution

The fourth proportional to 150,529.32, 207,722.34 and 83,457 is: 115,166.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,529.32 : 207,722.34 = 83,457 : x
  2. Step 2: Convert to fraction form
    150,529.32/207,722.34 = 83,457/x
  3. Step 3: Cross multiply
    150,529.32x = 207,722.34 × 83,457
  4. Step 4: Simplify right side
    150,529.32x = 17,335,883,329.38
  5. Step 5: Solve for x
    x = 17,335,883,329.38/150,529.32
  6. Step 6: Final answer
    x = 115,166.16

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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.