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Finding the Fourth Proportional to 153,894.38, 212,462.56 and 117,308.60

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Solution

The fourth proportional to 153,894.38, 212,462.56 and 117,308.60 is: 161,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,894.38 : 212,462.56 = 117,308.60 : x
  2. Step 2: Convert to fraction form
    153,894.38/212,462.56 = 117,308.60/x
  3. Step 3: Cross multiply
    153,894.38x = 212,462.56 × 117,308.60
  4. Step 4: Simplify right side
    153,894.38x = 24,923,685,466.02
  5. Step 5: Solve for x
    x = 24,923,685,466.02/153,894.38
  6. Step 6: Final answer
    x = 161,953.19

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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.