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Finding the Fourth Proportional to 130,980, 196,486.47 and 51,019.77

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Solution

The fourth proportional to 130,980, 196,486.47 and 51,019.77 is: 76,536.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,980 : 196,486.47 = 51,019.77 : x
  2. Step 2: Convert to fraction form
    130,980/196,486.47 = 51,019.77/x
  3. Step 3: Cross multiply
    130,980x = 196,486.47 × 51,019.77
  4. Step 4: Simplify right side
    130,980x = 10,024,694,507.51
  5. Step 5: Solve for x
    x = 10,024,694,507.51/130,980
  6. Step 6: Final answer
    x = 76,536.07

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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.