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Finding the Fourth Proportional to 154,615, 213,368.70 and 87,547

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Solution

The fourth proportional to 154,615, 213,368.70 and 87,547 is: 120,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,615 : 213,368.70 = 87,547 : x
  2. Step 2: Convert to fraction form
    154,615/213,368.70 = 87,547/x
  3. Step 3: Cross multiply
    154,615x = 213,368.70 × 87,547
  4. Step 4: Simplify right side
    154,615x = 18,679,789,578.90
  5. Step 5: Solve for x
    x = 18,679,789,578.90/154,615
  6. Step 6: Final answer
    x = 120,814.86

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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.