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Finding the Fourth Proportional to 213,495.40, 319,992.96 and 87,056.72

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Solution

The fourth proportional to 213,495.40, 319,992.96 and 87,056.72 is: 130,483.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,495.40 : 319,992.96 = 87,056.72 : x
  2. Step 2: Convert to fraction form
    213,495.40/319,992.96 = 87,056.72/x
  3. Step 3: Cross multiply
    213,495.40x = 319,992.96 × 87,056.72
  4. Step 4: Simplify right side
    213,495.40x = 27,857,538,512.58
  5. Step 5: Solve for x
    x = 27,857,538,512.58/213,495.40
  6. Step 6: Final answer
    x = 130,483.09

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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.