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Finding the Fourth Proportional to 115,141.56, 172,712.34 and 65,859

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Solution

The fourth proportional to 115,141.56, 172,712.34 and 65,859 is: 98,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,141.56 : 172,712.34 = 65,859 : x
  2. Step 2: Convert to fraction form
    115,141.56/172,712.34 = 65,859/x
  3. Step 3: Cross multiply
    115,141.56x = 172,712.34 × 65,859
  4. Step 4: Simplify right side
    115,141.56x = 11,374,662,000.06
  5. Step 5: Solve for x
    x = 11,374,662,000.06/115,141.56
  6. Step 6: Final answer
    x = 98,788.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.