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Finding the Fourth Proportional to 77,947,686.40, 109,305,920 and 77,947,686.40

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Solution

The fourth proportional to 77,947,686.40, 109,305,920 and 77,947,686.40 is: 109,305,920

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,947,686.40 : 109,305,920 = 77,947,686.40 : x
  2. Step 2: Convert to fraction form
    77,947,686.40/109,305,920 = 77,947,686.40/x
  3. Step 3: Cross multiply
    77,947,686.40x = 109,305,920 × 77,947,686.40
  4. Step 4: Simplify right side
    77,947,686.40x = 8,520,143,573,823,489
  5. Step 5: Solve for x
    x = 8,520,143,573,823,489/77,947,686.40
  6. Step 6: Final answer
    x = 109,305,920

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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.