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Finding the Fourth Proportional to 144,311.40, 216,321.30 and 65,482.20

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Solution

The fourth proportional to 144,311.40, 216,321.30 and 65,482.20 is: 98,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,311.40 : 216,321.30 = 65,482.20 : x
  2. Step 2: Convert to fraction form
    144,311.40/216,321.30 = 65,482.20/x
  3. Step 3: Cross multiply
    144,311.40x = 216,321.30 × 65,482.20
  4. Step 4: Simplify right side
    144,311.40x = 14,165,194,630.86
  5. Step 5: Solve for x
    x = 14,165,194,630.86/144,311.40
  6. Step 6: Final answer
    x = 98,157.14

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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.