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Finding the Fourth Proportional to 56,459.53, 77,914.15 and 31,309.03

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Solution

The fourth proportional to 56,459.53, 77,914.15 and 31,309.03 is: 43,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,459.53 : 77,914.15 = 31,309.03 : x
  2. Step 2: Convert to fraction form
    56,459.53/77,914.15 = 31,309.03/x
  3. Step 3: Cross multiply
    56,459.53x = 77,914.15 × 31,309.03
  4. Step 4: Simplify right side
    56,459.53x = 2,439,416,655.01
  5. Step 5: Solve for x
    x = 2,439,416,655.01/56,459.53
  6. Step 6: Final answer
    x = 43,206.46

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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.