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Finding the Fourth Proportional to 117,255.81, 175,881.29 and 28,509.78

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Solution

The fourth proportional to 117,255.81, 175,881.29 and 28,509.78 is: 42,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,255.81 : 175,881.29 = 28,509.78 : x
  2. Step 2: Convert to fraction form
    117,255.81/175,881.29 = 28,509.78/x
  3. Step 3: Cross multiply
    117,255.81x = 175,881.29 × 28,509.78
  4. Step 4: Simplify right side
    117,255.81x = 5,014,336,741.47
  5. Step 5: Solve for x
    x = 5,014,336,741.47/117,255.81
  6. Step 6: Final answer
    x = 42,764.08

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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.