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Finding the Fourth Proportional to 145,856, 218,784 and 47,360

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Solution

The fourth proportional to 145,856, 218,784 and 47,360 is: 71,040

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,856 : 218,784 = 47,360 : x
  2. Step 2: Convert to fraction form
    145,856/218,784 = 47,360/x
  3. Step 3: Cross multiply
    145,856x = 218,784 × 47,360
  4. Step 4: Simplify right side
    145,856x = 10,361,610,240
  5. Step 5: Solve for x
    x = 10,361,610,240/145,856
  6. Step 6: Final answer
    x = 71,040

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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.