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Finding the Fourth Proportional to 56,018, 77,305.12 and 30,866.96

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Solution

The fourth proportional to 56,018, 77,305.12 and 30,866.96 is: 42,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,018 : 77,305.12 = 30,866.96 : x
  2. Step 2: Convert to fraction form
    56,018/77,305.12 = 30,866.96/x
  3. Step 3: Cross multiply
    56,018x = 77,305.12 × 30,866.96
  4. Step 4: Simplify right side
    56,018x = 2,386,174,046.84
  5. Step 5: Solve for x
    x = 2,386,174,046.84/56,018
  6. Step 6: Final answer
    x = 42,596.56

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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.