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Finding the Fourth Proportional to 201,011.72, 277,339.56 and 129,433.16

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Solution

The fourth proportional to 201,011.72, 277,339.56 and 129,433.16 is: 178,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,011.72 : 277,339.56 = 129,433.16 : x
  2. Step 2: Convert to fraction form
    201,011.72/277,339.56 = 129,433.16/x
  3. Step 3: Cross multiply
    201,011.72x = 277,339.56 × 129,433.16
  4. Step 4: Simplify right side
    201,011.72x = 35,896,935,643.81
  5. Step 5: Solve for x
    x = 35,896,935,643.81/201,011.72
  6. Step 6: Final answer
    x = 178,581.31

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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.