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Finding the Fourth Proportional to 115,029.12, 158,604.36 and 78,748.02

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Solution

The fourth proportional to 115,029.12, 158,604.36 and 78,748.02 is: 108,579.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,029.12 : 158,604.36 = 78,748.02 : x
  2. Step 2: Convert to fraction form
    115,029.12/158,604.36 = 78,748.02/x
  3. Step 3: Cross multiply
    115,029.12x = 158,604.36 × 78,748.02
  4. Step 4: Simplify right side
    115,029.12x = 12,489,779,313.37
  5. Step 5: Solve for x
    x = 12,489,779,313.37/115,029.12
  6. Step 6: Final answer
    x = 108,579.28

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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.