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Finding the Fourth Proportional to 97,990.56, 147,007.80 and 31,436.64

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Solution

The fourth proportional to 97,990.56, 147,007.80 and 31,436.64 is: 47,162.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,990.56 : 147,007.80 = 31,436.64 : x
  2. Step 2: Convert to fraction form
    97,990.56/147,007.80 = 31,436.64/x
  3. Step 3: Cross multiply
    97,990.56x = 147,007.80 × 31,436.64
  4. Step 4: Simplify right side
    97,990.56x = 4,621,431,285.79
  5. Step 5: Solve for x
    x = 4,621,431,285.79/97,990.56
  6. Step 6: Final answer
    x = 47,162.01

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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.