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Finding the Fourth Proportional to 111,378, 153,638.76 and 66,011.42

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Solution

The fourth proportional to 111,378, 153,638.76 and 66,011.42 is: 91,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,378 : 153,638.76 = 66,011.42 : x
  2. Step 2: Convert to fraction form
    111,378/153,638.76 = 66,011.42/x
  3. Step 3: Cross multiply
    111,378x = 153,638.76 × 66,011.42
  4. Step 4: Simplify right side
    111,378x = 10,141,912,714.64
  5. Step 5: Solve for x
    x = 10,141,912,714.64/111,378
  6. Step 6: Final answer
    x = 91,058.49

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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.