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Finding the Fourth Proportional to 156,237, 235,020.72 and 141,622.40

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Solution

The fourth proportional to 156,237, 235,020.72 and 141,622.40 is: 213,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,237 : 235,020.72 = 141,622.40 : x
  2. Step 2: Convert to fraction form
    156,237/235,020.72 = 141,622.40/x
  3. Step 3: Cross multiply
    156,237x = 235,020.72 × 141,622.40
  4. Step 4: Simplify right side
    156,237x = 33,284,197,241.02
  5. Step 5: Solve for x
    x = 33,284,197,241.02/156,237
  6. Step 6: Final answer
    x = 213,036.59

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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.