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Finding the Fourth Proportional to 78,782.16, 118,143.80 and 32,019.28

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Solution

The fourth proportional to 78,782.16, 118,143.80 and 32,019.28 is: 48,016.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,782.16 : 118,143.80 = 32,019.28 : x
  2. Step 2: Convert to fraction form
    78,782.16/118,143.80 = 32,019.28/x
  3. Step 3: Cross multiply
    78,782.16x = 118,143.80 × 32,019.28
  4. Step 4: Simplify right side
    78,782.16x = 3,782,879,412.46
  5. Step 5: Solve for x
    x = 3,782,879,412.46/78,782.16
  6. Step 6: Final answer
    x = 48,016.95

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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.