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Finding the Fourth Proportional to 56,579, 84,868.50 and 19,643

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Solution

The fourth proportional to 56,579, 84,868.50 and 19,643 is: 29,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,579 : 84,868.50 = 19,643 : x
  2. Step 2: Convert to fraction form
    56,579/84,868.50 = 19,643/x
  3. Step 3: Cross multiply
    56,579x = 84,868.50 × 19,643
  4. Step 4: Simplify right side
    56,579x = 1,667,071,945.50
  5. Step 5: Solve for x
    x = 1,667,071,945.50/56,579
  6. Step 6: Final answer
    x = 29,464.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.