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Finding the Fourth Proportional to 97,974, 146,971.44 and 31,390.32

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Solution

The fourth proportional to 97,974, 146,971.44 and 31,390.32 is: 47,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,974 : 146,971.44 = 31,390.32 : x
  2. Step 2: Convert to fraction form
    97,974/146,971.44 = 31,390.32/x
  3. Step 3: Cross multiply
    97,974x = 146,971.44 × 31,390.32
  4. Step 4: Simplify right side
    97,974x = 4,613,480,532.46
  5. Step 5: Solve for x
    x = 4,613,480,532.46/97,974
  6. Step 6: Final answer
    x = 47,088.82

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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.