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Finding the Fourth Proportional to 144,108, 216,239.76 and 70,236

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Solution

The fourth proportional to 144,108, 216,239.76 and 70,236 is: 105,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,108 : 216,239.76 = 70,236 : x
  2. Step 2: Convert to fraction form
    144,108/216,239.76 = 70,236/x
  3. Step 3: Cross multiply
    144,108x = 216,239.76 × 70,236
  4. Step 4: Simplify right side
    144,108x = 15,187,815,783.36
  5. Step 5: Solve for x
    x = 15,187,815,783.36/144,108
  6. Step 6: Final answer
    x = 105,391.90

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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.