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Finding the Fourth Proportional to 172,149, 258,223.56 and 47,490

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Solution

The fourth proportional to 172,149, 258,223.56 and 47,490 is: 71,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,149 : 258,223.56 = 47,490 : x
  2. Step 2: Convert to fraction form
    172,149/258,223.56 = 47,490/x
  3. Step 3: Cross multiply
    172,149x = 258,223.56 × 47,490
  4. Step 4: Simplify right side
    172,149x = 12,263,036,864.40
  5. Step 5: Solve for x
    x = 12,263,036,864.40/172,149
  6. Step 6: Final answer
    x = 71,235.02

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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.