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Finding the Fourth Proportional to 115,007, 172,510.50 and 31,901

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Solution

The fourth proportional to 115,007, 172,510.50 and 31,901 is: 47,851.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,007 : 172,510.50 = 31,901 : x
  2. Step 2: Convert to fraction form
    115,007/172,510.50 = 31,901/x
  3. Step 3: Cross multiply
    115,007x = 172,510.50 × 31,901
  4. Step 4: Simplify right side
    115,007x = 5,503,257,460.50
  5. Step 5: Solve for x
    x = 5,503,257,460.50/115,007
  6. Step 6: Final answer
    x = 47,851.50

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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.