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Finding the Fourth Proportional to 56,234, 77,603.02 and 31,083.50

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Solution

The fourth proportional to 56,234, 77,603.02 and 31,083.50 is: 42,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,234 : 77,603.02 = 31,083.50 : x
  2. Step 2: Convert to fraction form
    56,234/77,603.02 = 31,083.50/x
  3. Step 3: Cross multiply
    56,234x = 77,603.02 × 31,083.50
  4. Step 4: Simplify right side
    56,234x = 2,412,173,472.17
  5. Step 5: Solve for x
    x = 2,412,173,472.17/56,234
  6. Step 6: Final answer
    x = 42,895.29

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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.