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Finding the Fourth Proportional to 115,004, 172,506 and 31,898

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Solution

The fourth proportional to 115,004, 172,506 and 31,898 is: 47,847

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,004 : 172,506 = 31,898 : x
  2. Step 2: Convert to fraction form
    115,004/172,506 = 31,898/x
  3. Step 3: Cross multiply
    115,004x = 172,506 × 31,898
  4. Step 4: Simplify right side
    115,004x = 5,502,596,388
  5. Step 5: Solve for x
    x = 5,502,596,388/115,004
  6. Step 6: Final answer
    x = 47,847

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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.