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Finding the Fourth Proportional to 130,369.40, 195,791.70 and 77,881.40

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Solution

The fourth proportional to 130,369.40, 195,791.70 and 77,881.40 is: 116,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,369.40 : 195,791.70 = 77,881.40 : x
  2. Step 2: Convert to fraction form
    130,369.40/195,791.70 = 77,881.40/x
  3. Step 3: Cross multiply
    130,369.40x = 195,791.70 × 77,881.40
  4. Step 4: Simplify right side
    130,369.40x = 15,248,531,704.38
  5. Step 5: Solve for x
    x = 15,248,531,704.38/130,369.40
  6. Step 6: Final answer
    x = 116,964.04

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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.