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Finding the Fourth Proportional to 115,872, 159,903.36 and 62,880

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Solution

The fourth proportional to 115,872, 159,903.36 and 62,880 is: 86,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,872 : 159,903.36 = 62,880 : x
  2. Step 2: Convert to fraction form
    115,872/159,903.36 = 62,880/x
  3. Step 3: Cross multiply
    115,872x = 159,903.36 × 62,880
  4. Step 4: Simplify right side
    115,872x = 10,054,723,276.80
  5. Step 5: Solve for x
    x = 10,054,723,276.80/115,872
  6. Step 6: Final answer
    x = 86,774.40

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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.