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Finding the Fourth Proportional to 56,459.59, 77,913.26 and 31,309.27

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Solution

The fourth proportional to 56,459.59, 77,913.26 and 31,309.27 is: 43,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,459.59 : 77,913.26 = 31,309.27 : x
  2. Step 2: Convert to fraction form
    56,459.59/77,913.26 = 31,309.27/x
  3. Step 3: Cross multiply
    56,459.59x = 77,913.26 × 31,309.27
  4. Step 4: Simplify right side
    56,459.59x = 2,439,407,137.37
  5. Step 5: Solve for x
    x = 2,439,407,137.37/56,459.59
  6. Step 6: Final answer
    x = 43,206.25

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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.