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Finding the Fourth Proportional to 102,783.70, 144,311.90 and 102,783.70

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Solution

The fourth proportional to 102,783.70, 144,311.90 and 102,783.70 is: 144,311.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,783.70 : 144,311.90 = 102,783.70 : x
  2. Step 2: Convert to fraction form
    102,783.70/144,311.90 = 102,783.70/x
  3. Step 3: Cross multiply
    102,783.70x = 144,311.90 × 102,783.70
  4. Step 4: Simplify right side
    102,783.70x = 14,832,911,036.03
  5. Step 5: Solve for x
    x = 14,832,911,036.03/102,783.70
  6. Step 6: Final answer
    x = 144,311.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.