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Finding the Fourth Proportional to 45,454, 68,191.98 and 14,289.16

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Solution

The fourth proportional to 45,454, 68,191.98 and 14,289.16 is: 21,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,454 : 68,191.98 = 14,289.16 : x
  2. Step 2: Convert to fraction form
    45,454/68,191.98 = 14,289.16/x
  3. Step 3: Cross multiply
    45,454x = 68,191.98 × 14,289.16
  4. Step 4: Simplify right side
    45,454x = 974,406,112.94
  5. Step 5: Solve for x
    x = 974,406,112.94/45,454
  6. Step 6: Final answer
    x = 21,437.19

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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.