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Finding the Fourth Proportional to 115,047.60, 172,426 and 51,800.37

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Solution

The fourth proportional to 115,047.60, 172,426 and 51,800.37 is: 77,635.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,047.60 : 172,426 = 51,800.37 : x
  2. Step 2: Convert to fraction form
    115,047.60/172,426 = 51,800.37/x
  3. Step 3: Cross multiply
    115,047.60x = 172,426 × 51,800.37
  4. Step 4: Simplify right side
    115,047.60x = 8,931,730,597.62
  5. Step 5: Solve for x
    x = 8,931,730,597.62/115,047.60
  6. Step 6: Final answer
    x = 77,635.09

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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.