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Finding the Fourth Proportional to 78,857,118.70, 118,285,678.05 and 78,857,118.70

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Solution

The fourth proportional to 78,857,118.70, 118,285,678.05 and 78,857,118.70 is: 118,285,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,857,118.70 : 118,285,678.05 = 78,857,118.70 : x
  2. Step 2: Convert to fraction form
    78,857,118.70/118,285,678.05 = 78,857,118.70/x
  3. Step 3: Cross multiply
    78,857,118.70x = 118,285,678.05 × 78,857,118.70
  4. Step 4: Simplify right side
    78,857,118.70x = 9,327,667,754,498,834
  5. Step 5: Solve for x
    x = 9,327,667,754,498,834/78,857,118.70
  6. Step 6: Final answer
    x = 118,285,678.05

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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.