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Finding the Fourth Proportional to 235,742.40, 352,807.20 and 142,315.20

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Solution

The fourth proportional to 235,742.40, 352,807.20 and 142,315.20 is: 212,985.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,742.40 : 352,807.20 = 142,315.20 : x
  2. Step 2: Convert to fraction form
    235,742.40/352,807.20 = 142,315.20/x
  3. Step 3: Cross multiply
    235,742.40x = 352,807.20 × 142,315.20
  4. Step 4: Simplify right side
    235,742.40x = 50,209,827,229.44
  5. Step 5: Solve for x
    x = 50,209,827,229.44/235,742.40
  6. Step 6: Final answer
    x = 212,985.98

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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.