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Finding the Fourth Proportional to 201,638.16, 302,502.96 and 61,407.60

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Solution

The fourth proportional to 201,638.16, 302,502.96 and 61,407.60 is: 92,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,638.16 : 302,502.96 = 61,407.60 : x
  2. Step 2: Convert to fraction form
    201,638.16/302,502.96 = 61,407.60/x
  3. Step 3: Cross multiply
    201,638.16x = 302,502.96 × 61,407.60
  4. Step 4: Simplify right side
    201,638.16x = 18,575,980,766.50
  5. Step 5: Solve for x
    x = 18,575,980,766.50/201,638.16
  6. Step 6: Final answer
    x = 92,125.32

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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.