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Finding the Fourth Proportional to 273,988.32, 378,072 and 153,129.84

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Solution

The fourth proportional to 273,988.32, 378,072 and 153,129.84 is: 211,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,988.32 : 378,072 = 153,129.84 : x
  2. Step 2: Convert to fraction form
    273,988.32/378,072 = 153,129.84/x
  3. Step 3: Cross multiply
    273,988.32x = 378,072 × 153,129.84
  4. Step 4: Simplify right side
    273,988.32x = 57,894,104,868.48
  5. Step 5: Solve for x
    x = 57,894,104,868.48/273,988.32
  6. Step 6: Final answer
    x = 211,301.36

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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.