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Finding the Fourth Proportional to 56,462.43, 77,918.15 and 31,311.93

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Solution

The fourth proportional to 56,462.43, 77,918.15 and 31,311.93 is: 43,210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,462.43 : 77,918.15 = 31,311.93 : x
  2. Step 2: Convert to fraction form
    56,462.43/77,918.15 = 31,311.93/x
  3. Step 3: Cross multiply
    56,462.43x = 77,918.15 × 31,311.93
  4. Step 4: Simplify right side
    56,462.43x = 2,439,768,029.00
  5. Step 5: Solve for x
    x = 2,439,768,029.00/56,462.43
  6. Step 6: Final answer
    x = 43,210.47

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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.