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Finding the Fourth Proportional to 153,698, 212,103.24 and 83,042

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Solution

The fourth proportional to 153,698, 212,103.24 and 83,042 is: 114,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,698 : 212,103.24 = 83,042 : x
  2. Step 2: Convert to fraction form
    153,698/212,103.24 = 83,042/x
  3. Step 3: Cross multiply
    153,698x = 212,103.24 × 83,042
  4. Step 4: Simplify right side
    153,698x = 17,613,477,256.08
  5. Step 5: Solve for x
    x = 17,613,477,256.08/153,698
  6. Step 6: Final answer
    x = 114,597.96

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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.