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Finding the Fourth Proportional to 78,762.60, 118,151.26 and 31,366.26

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Solution

The fourth proportional to 78,762.60, 118,151.26 and 31,366.26 is: 47,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,762.60 : 118,151.26 = 31,366.26 : x
  2. Step 2: Convert to fraction form
    78,762.60/118,151.26 = 31,366.26/x
  3. Step 3: Cross multiply
    78,762.60x = 118,151.26 × 31,366.26
  4. Step 4: Simplify right side
    78,762.60x = 3,705,963,062.07
  5. Step 5: Solve for x
    x = 3,705,963,062.07/78,762.60
  6. Step 6: Final answer
    x = 47,052.32

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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.