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Finding the Fourth Proportional to 76,362, 114,545.16 and 20,958

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Solution

The fourth proportional to 76,362, 114,545.16 and 20,958 is: 31,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,362 : 114,545.16 = 20,958 : x
  2. Step 2: Convert to fraction form
    76,362/114,545.16 = 20,958/x
  3. Step 3: Cross multiply
    76,362x = 114,545.16 × 20,958
  4. Step 4: Simplify right side
    76,362x = 2,400,637,463.28
  5. Step 5: Solve for x
    x = 2,400,637,463.28/76,362
  6. Step 6: Final answer
    x = 31,437.59

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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.