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Finding the Fourth Proportional to 201,257.40, 301,886.10 and 142,208.40

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Solution

The fourth proportional to 201,257.40, 301,886.10 and 142,208.40 is: 213,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,257.40 : 301,886.10 = 142,208.40 : x
  2. Step 2: Convert to fraction form
    201,257.40/301,886.10 = 142,208.40/x
  3. Step 3: Cross multiply
    201,257.40x = 301,886.10 × 142,208.40
  4. Step 4: Simplify right side
    201,257.40x = 42,930,739,263.24
  5. Step 5: Solve for x
    x = 42,930,739,263.24/201,257.40
  6. Step 6: Final answer
    x = 213,312.60

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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.