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Finding the Fourth Proportional to 106,437.95, 146,829.40 and 66,136.40

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Solution

The fourth proportional to 106,437.95, 146,829.40 and 66,136.40 is: 91,234.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,437.95 : 146,829.40 = 66,136.40 : x
  2. Step 2: Convert to fraction form
    106,437.95/146,829.40 = 66,136.40/x
  3. Step 3: Cross multiply
    106,437.95x = 146,829.40 × 66,136.40
  4. Step 4: Simplify right side
    106,437.95x = 9,710,766,865.33
  5. Step 5: Solve for x
    x = 9,710,766,865.33/106,437.95
  6. Step 6: Final answer
    x = 91,234.07

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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.