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Finding the Fourth Proportional to 56,163.04, 77,503.96 and 31,012

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Solution

The fourth proportional to 56,163.04, 77,503.96 and 31,012 is: 42,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,163.04 : 77,503.96 = 31,012 : x
  2. Step 2: Convert to fraction form
    56,163.04/77,503.96 = 31,012/x
  3. Step 3: Cross multiply
    56,163.04x = 77,503.96 × 31,012
  4. Step 4: Simplify right side
    56,163.04x = 2,403,552,807.52
  5. Step 5: Solve for x
    x = 2,403,552,807.52/56,163.04
  6. Step 6: Final answer
    x = 42,795.99

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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.