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Finding the Fourth Proportional to 131,490, 197,136.54 and 42,690.48

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Solution

The fourth proportional to 131,490, 197,136.54 and 42,690.48 is: 64,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,490 : 197,136.54 = 42,690.48 : x
  2. Step 2: Convert to fraction form
    131,490/197,136.54 = 42,690.48/x
  3. Step 3: Cross multiply
    131,490x = 197,136.54 × 42,690.48
  4. Step 4: Simplify right side
    131,490x = 8,415,853,518.14
  5. Step 5: Solve for x
    x = 8,415,853,518.14/131,490
  6. Step 6: Final answer
    x = 64,003.75

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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.