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Finding the Fourth Proportional to 172,423.80, 237,898.35 and 100,821.42

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Solution

The fourth proportional to 172,423.80, 237,898.35 and 100,821.42 is: 139,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,423.80 : 237,898.35 = 100,821.42 : x
  2. Step 2: Convert to fraction form
    172,423.80/237,898.35 = 100,821.42/x
  3. Step 3: Cross multiply
    172,423.80x = 237,898.35 × 100,821.42
  4. Step 4: Simplify right side
    172,423.80x = 23,985,249,462.66
  5. Step 5: Solve for x
    x = 23,985,249,462.66/172,423.80
  6. Step 6: Final answer
    x = 139,106.37

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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.