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Finding the Fourth Proportional to 101,242.84, 151,878.78 and 31,128.04

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Solution

The fourth proportional to 101,242.84, 151,878.78 and 31,128.04 is: 46,696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,242.84 : 151,878.78 = 31,128.04 : x
  2. Step 2: Convert to fraction form
    101,242.84/151,878.78 = 31,128.04/x
  3. Step 3: Cross multiply
    101,242.84x = 151,878.78 × 31,128.04
  4. Step 4: Simplify right side
    101,242.84x = 4,727,688,738.99
  5. Step 5: Solve for x
    x = 4,727,688,738.99/101,242.84
  6. Step 6: Final answer
    x = 46,696.52

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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.