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Finding the Fourth Proportional to 78,018,693.77, 107,624,978.31 and 48,239,822.65

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Solution

The fourth proportional to 78,018,693.77, 107,624,978.31 and 48,239,822.65 is: 66,545,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,018,693.77 : 107,624,978.31 = 48,239,822.65 : x
  2. Step 2: Convert to fraction form
    78,018,693.77/107,624,978.31 = 48,239,822.65/x
  3. Step 3: Cross multiply
    78,018,693.77x = 107,624,978.31 × 48,239,822.65
  4. Step 4: Simplify right side
    78,018,693.77x = 5,191,809,865,846,372
  5. Step 5: Solve for x
    x = 5,191,809,865,846,372/78,018,693.77
  6. Step 6: Final answer
    x = 66,545,716.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.