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Finding the Fourth Proportional to 130,807.80, 196,211.70 and 51,881.40

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Solution

The fourth proportional to 130,807.80, 196,211.70 and 51,881.40 is: 77,822.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,807.80 : 196,211.70 = 51,881.40 : x
  2. Step 2: Convert to fraction form
    130,807.80/196,211.70 = 51,881.40/x
  3. Step 3: Cross multiply
    130,807.80x = 196,211.70 × 51,881.40
  4. Step 4: Simplify right side
    130,807.80x = 10,179,737,692.38
  5. Step 5: Solve for x
    x = 10,179,737,692.38/130,807.80
  6. Step 6: Final answer
    x = 77,822.10

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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.