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Finding the Fourth Proportional to 130,765, 196,176.66 and 47,659

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Solution

The fourth proportional to 130,765, 196,176.66 and 47,659 is: 71,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,765 : 196,176.66 = 47,659 : x
  2. Step 2: Convert to fraction form
    130,765/196,176.66 = 47,659/x
  3. Step 3: Cross multiply
    130,765x = 196,176.66 × 47,659
  4. Step 4: Simplify right side
    130,765x = 9,349,583,438.94
  5. Step 5: Solve for x
    x = 9,349,583,438.94/130,765
  6. Step 6: Final answer
    x = 71,499.13

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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.