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Finding the Fourth Proportional to 131,478, 197,118.54 and 42,678.48

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Solution

The fourth proportional to 131,478, 197,118.54 and 42,678.48 is: 63,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,478 : 197,118.54 = 42,678.48 : x
  2. Step 2: Convert to fraction form
    131,478/197,118.54 = 42,678.48/x
  3. Step 3: Cross multiply
    131,478x = 197,118.54 × 42,678.48
  4. Step 4: Simplify right side
    131,478x = 8,412,719,667.02
  5. Step 5: Solve for x
    x = 8,412,719,667.02/131,478
  6. Step 6: Final answer
    x = 63,985.76

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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.