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Finding the Fourth Proportional to 201,638.50, 302,457.76 and 70,310.50

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Solution

The fourth proportional to 201,638.50, 302,457.76 and 70,310.50 is: 105,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638.50 : 302,457.76 = 70,310.50 : x
  2. Step 2: Convert to fraction form
    201,638.50/302,457.76 = 70,310.50/x
  3. Step 3: Cross multiply
    201,638.50x = 302,457.76 × 70,310.50
  4. Step 4: Simplify right side
    201,638.50x = 21,265,956,334.48
  5. Step 5: Solve for x
    x = 21,265,956,334.48/201,638.50
  6. Step 6: Final answer
    x = 105,465.75

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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.