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Finding the Fourth Proportional to 56,365.40, 77,784.22 and 31,214.88

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Solution

The fourth proportional to 56,365.40, 77,784.22 and 31,214.88 is: 43,076.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,365.40 : 77,784.22 = 31,214.88 : x
  2. Step 2: Convert to fraction form
    56,365.40/77,784.22 = 31,214.88/x
  3. Step 3: Cross multiply
    56,365.40x = 77,784.22 × 31,214.88
  4. Step 4: Simplify right side
    56,365.40x = 2,428,025,093.19
  5. Step 5: Solve for x
    x = 2,428,025,093.19/56,365.40
  6. Step 6: Final answer
    x = 43,076.52

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1.5x scale

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.