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Finding the Fourth Proportional to 130,894.70, 196,331.10 and 51,987.74

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Solution

The fourth proportional to 130,894.70, 196,331.10 and 51,987.74 is: 77,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,894.70 : 196,331.10 = 51,987.74 : x
  2. Step 2: Convert to fraction form
    130,894.70/196,331.10 = 51,987.74/x
  3. Step 3: Cross multiply
    130,894.70x = 196,331.10 × 51,987.74
  4. Step 4: Simplify right side
    130,894.70x = 10,206,809,199.06
  5. Step 5: Solve for x
    x = 10,206,809,199.06/130,894.70
  6. Step 6: Final answer
    x = 77,977.26

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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.