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Finding the Fourth Proportional to 103,630.40, 155,242.22 and 53,743.11

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Solution

The fourth proportional to 103,630.40, 155,242.22 and 53,743.11 is: 80,509.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,630.40 : 155,242.22 = 53,743.11 : x
  2. Step 2: Convert to fraction form
    103,630.40/155,242.22 = 53,743.11/x
  3. Step 3: Cross multiply
    103,630.40x = 155,242.22 × 53,743.11
  4. Step 4: Simplify right side
    103,630.40x = 8,343,199,706.10
  5. Step 5: Solve for x
    x = 8,343,199,706.10/103,630.40
  6. Step 6: Final answer
    x = 80,509.19

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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.