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Finding the Fourth Proportional to 235,412.40, 352,312.20 and 141,985.20

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Solution

The fourth proportional to 235,412.40, 352,312.20 and 141,985.20 is: 212,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,412.40 : 352,312.20 = 141,985.20 : x
  2. Step 2: Convert to fraction form
    235,412.40/352,312.20 = 141,985.20/x
  3. Step 3: Cross multiply
    235,412.40x = 352,312.20 × 141,985.20
  4. Step 4: Simplify right side
    235,412.40x = 50,023,118,179.44
  5. Step 5: Solve for x
    x = 50,023,118,179.44/235,412.40
  6. Step 6: Final answer
    x = 212,491.43

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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.