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Finding the Fourth Proportional to 130,908.65, 196,658.57 and 77,635.57

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Solution

The fourth proportional to 130,908.65, 196,658.57 and 77,635.57 is: 116,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,908.65 : 196,658.57 = 77,635.57 : x
  2. Step 2: Convert to fraction form
    130,908.65/196,658.57 = 77,635.57/x
  3. Step 3: Cross multiply
    130,908.65x = 196,658.57 × 77,635.57
  4. Step 4: Simplify right side
    130,908.65x = 15,267,700,326.11
  5. Step 5: Solve for x
    x = 15,267,700,326.11/130,908.65
  6. Step 6: Final answer
    x = 116,628.66

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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.