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Finding the Fourth Proportional to 172,421.20, 258,631.80 and 47,762.20

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Solution

The fourth proportional to 172,421.20, 258,631.80 and 47,762.20 is: 71,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,421.20 : 258,631.80 = 47,762.20 : x
  2. Step 2: Convert to fraction form
    172,421.20/258,631.80 = 47,762.20/x
  3. Step 3: Cross multiply
    172,421.20x = 258,631.80 × 47,762.20
  4. Step 4: Simplify right side
    172,421.20x = 12,352,823,757.96
  5. Step 5: Solve for x
    x = 12,352,823,757.96/172,421.20
  6. Step 6: Final answer
    x = 71,643.30

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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.