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Finding the Fourth Proportional to 97,786.98, 146,656.98 and 45,145.89

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Solution

The fourth proportional to 97,786.98, 146,656.98 and 45,145.89 is: 67,707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,786.98 : 146,656.98 = 45,145.89 : x
  2. Step 2: Convert to fraction form
    97,786.98/146,656.98 = 45,145.89/x
  3. Step 3: Cross multiply
    97,786.98x = 146,656.98 × 45,145.89
  4. Step 4: Simplify right side
    97,786.98x = 6,620,959,886.81
  5. Step 5: Solve for x
    x = 6,620,959,886.81/97,786.98
  6. Step 6: Final answer
    x = 67,707.99

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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.