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Finding the Fourth Proportional to 77,009.78, 115,447.16 and 37,008.74

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Solution

The fourth proportional to 77,009.78, 115,447.16 and 37,008.74 is: 55,480.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,009.78 : 115,447.16 = 37,008.74 : x
  2. Step 2: Convert to fraction form
    77,009.78/115,447.16 = 37,008.74/x
  3. Step 3: Cross multiply
    77,009.78x = 115,447.16 × 37,008.74
  4. Step 4: Simplify right side
    77,009.78x = 4,272,553,928.18
  5. Step 5: Solve for x
    x = 4,272,553,928.18/77,009.78
  6. Step 6: Final answer
    x = 55,480.67

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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.