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Finding the Fourth Proportional to 130,977, 196,465.50 and 47,871

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Solution

The fourth proportional to 130,977, 196,465.50 and 47,871 is: 71,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,977 : 196,465.50 = 47,871 : x
  2. Step 2: Convert to fraction form
    130,977/196,465.50 = 47,871/x
  3. Step 3: Cross multiply
    130,977x = 196,465.50 × 47,871
  4. Step 4: Simplify right side
    130,977x = 9,404,999,950.50
  5. Step 5: Solve for x
    x = 9,404,999,950.50/130,977
  6. Step 6: Final answer
    x = 71,806.50

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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.