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Finding the Fourth Proportional to 213,142.40, 319,713.60 and 72,905.60

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Solution

The fourth proportional to 213,142.40, 319,713.60 and 72,905.60 is: 109,358.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,142.40 : 319,713.60 = 72,905.60 : x
  2. Step 2: Convert to fraction form
    213,142.40/319,713.60 = 72,905.60/x
  3. Step 3: Cross multiply
    213,142.40x = 319,713.60 × 72,905.60
  4. Step 4: Simplify right side
    213,142.40x = 23,308,911,836.16
  5. Step 5: Solve for x
    x = 23,308,911,836.16/213,142.40
  6. Step 6: Final answer
    x = 109,358.40

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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.