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Finding the Fourth Proportional to 77,152.53, 115,741.62 and 26,549.54

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Solution

The fourth proportional to 77,152.53, 115,741.62 and 26,549.54 is: 39,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,152.53 : 115,741.62 = 26,549.54 : x
  2. Step 2: Convert to fraction form
    77,152.53/115,741.62 = 26,549.54/x
  3. Step 3: Cross multiply
    77,152.53x = 115,741.62 × 26,549.54
  4. Step 4: Simplify right side
    77,152.53x = 3,072,886,191.15
  5. Step 5: Solve for x
    x = 3,072,886,191.15/77,152.53
  6. Step 6: Final answer
    x = 39,828.72

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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.