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Finding the Fourth Proportional to 172,038.64, 258,093.84 and 86,697.48

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Solution

The fourth proportional to 172,038.64, 258,093.84 and 86,697.48 is: 130,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,038.64 : 258,093.84 = 86,697.48 : x
  2. Step 2: Convert to fraction form
    172,038.64/258,093.84 = 86,697.48/x
  3. Step 3: Cross multiply
    172,038.64x = 258,093.84 × 86,697.48
  4. Step 4: Simplify right side
    172,038.64x = 22,376,085,531.52
  5. Step 5: Solve for x
    x = 22,376,085,531.52/172,038.64
  6. Step 6: Final answer
    x = 130,064.30

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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.