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Finding the Fourth Proportional to 201,642.50, 302,463.76 and 70,314.50

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Solution

The fourth proportional to 201,642.50, 302,463.76 and 70,314.50 is: 105,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,642.50 : 302,463.76 = 70,314.50 : x
  2. Step 2: Convert to fraction form
    201,642.50/302,463.76 = 70,314.50/x
  3. Step 3: Cross multiply
    201,642.50x = 302,463.76 × 70,314.50
  4. Step 4: Simplify right side
    201,642.50x = 21,267,588,052.52
  5. Step 5: Solve for x
    x = 21,267,588,052.52/201,642.50
  6. Step 6: Final answer
    x = 105,471.75

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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.