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Finding the Fourth Proportional to 56,615.52, 78,128.64 and 31,464.48

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Solution

The fourth proportional to 56,615.52, 78,128.64 and 31,464.48 is: 43,420.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,615.52 : 78,128.64 = 31,464.48 : x
  2. Step 2: Convert to fraction form
    56,615.52/78,128.64 = 31,464.48/x
  3. Step 3: Cross multiply
    56,615.52x = 78,128.64 × 31,464.48
  4. Step 4: Simplify right side
    56,615.52x = 2,458,277,030.71
  5. Step 5: Solve for x
    x = 2,458,277,030.71/56,615.52
  6. Step 6: Final answer
    x = 43,420.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.