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Finding the Fourth Proportional to 144,701.40, 216,906.30 and 65,872.20

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Solution

The fourth proportional to 144,701.40, 216,906.30 and 65,872.20 is: 98,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,701.40 : 216,906.30 = 65,872.20 : x
  2. Step 2: Convert to fraction form
    144,701.40/216,906.30 = 65,872.20/x
  3. Step 3: Cross multiply
    144,701.40x = 216,906.30 × 65,872.20
  4. Step 4: Simplify right side
    144,701.40x = 14,288,095,174.86
  5. Step 5: Solve for x
    x = 14,288,095,174.86/144,701.40
  6. Step 6: Final answer
    x = 98,741.93

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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.