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Finding the Fourth Proportional to 78,802.75, 118,260.93 and 31,390.41

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Solution

The fourth proportional to 78,802.75, 118,260.93 and 31,390.41 is: 47,108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,802.75 : 118,260.93 = 31,390.41 : x
  2. Step 2: Convert to fraction form
    78,802.75/118,260.93 = 31,390.41/x
  3. Step 3: Cross multiply
    78,802.75x = 118,260.93 × 31,390.41
  4. Step 4: Simplify right side
    78,802.75x = 3,712,259,079.68
  5. Step 5: Solve for x
    x = 3,712,259,079.68/78,802.75
  6. Step 6: Final answer
    x = 47,108.24

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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.