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Finding the Fourth Proportional to 172,643.36, 258,956.40 and 47,985.44

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Solution

The fourth proportional to 172,643.36, 258,956.40 and 47,985.44 is: 71,975.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,643.36 : 258,956.40 = 47,985.44 : x
  2. Step 2: Convert to fraction form
    172,643.36/258,956.40 = 47,985.44/x
  3. Step 3: Cross multiply
    172,643.36x = 258,956.40 × 47,985.44
  4. Step 4: Simplify right side
    172,643.36x = 12,426,136,794.82
  5. Step 5: Solve for x
    x = 12,426,136,794.82/172,643.36
  6. Step 6: Final answer
    x = 71,975.76

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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.