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Finding the Fourth Proportional to 56,235.50, 77,605.13 and 31,085

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Solution

The fourth proportional to 56,235.50, 77,605.13 and 31,085 is: 42,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,235.50 : 77,605.13 = 31,085 : x
  2. Step 2: Convert to fraction form
    56,235.50/77,605.13 = 31,085/x
  3. Step 3: Cross multiply
    56,235.50x = 77,605.13 × 31,085
  4. Step 4: Simplify right side
    56,235.50x = 2,412,355,466.05
  5. Step 5: Solve for x
    x = 2,412,355,466.05/56,235.50
  6. Step 6: Final answer
    x = 42,897.38

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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.