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Finding the Fourth Proportional to 153,506.40, 211,824.36 and 85,516.44

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Solution

The fourth proportional to 153,506.40, 211,824.36 and 85,516.44 is: 118,004.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,506.40 : 211,824.36 = 85,516.44 : x
  2. Step 2: Convert to fraction form
    153,506.40/211,824.36 = 85,516.44/x
  3. Step 3: Cross multiply
    153,506.40x = 211,824.36 × 85,516.44
  4. Step 4: Simplify right side
    153,506.40x = 18,114,465,172.48
  5. Step 5: Solve for x
    x = 18,114,465,172.48/153,506.40
  6. Step 6: Final answer
    x = 118,004.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.