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Finding the Fourth Proportional to 77,280.63, 115,842.52 and 43,931.78

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Solution

The fourth proportional to 77,280.63, 115,842.52 and 43,931.78 is: 65,853.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,280.63 : 115,842.52 = 43,931.78 : x
  2. Step 2: Convert to fraction form
    77,280.63/115,842.52 = 43,931.78/x
  3. Step 3: Cross multiply
    77,280.63x = 115,842.52 × 43,931.78
  4. Step 4: Simplify right side
    77,280.63x = 5,089,168,283.06
  5. Step 5: Solve for x
    x = 5,089,168,283.06/77,280.63
  6. Step 6: Final answer
    x = 65,853.09

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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.