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Finding the Fourth Proportional to 115,848, 160,001.46 and 78,056.64

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Solution

The fourth proportional to 115,848, 160,001.46 and 78,056.64 is: 107,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,848 : 160,001.46 = 78,056.64 : x
  2. Step 2: Convert to fraction form
    115,848/160,001.46 = 78,056.64/x
  3. Step 3: Cross multiply
    115,848x = 160,001.46 × 78,056.64
  4. Step 4: Simplify right side
    115,848x = 12,489,176,362.69
  5. Step 5: Solve for x
    x = 12,489,176,362.69/115,848
  6. Step 6: Final answer
    x = 107,806.58

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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.