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Finding the Fourth Proportional to 138,129.60, 190,617.80 and 78,513.60

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Solution

The fourth proportional to 138,129.60, 190,617.80 and 78,513.60 is: 108,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,129.60 : 190,617.80 = 78,513.60 : x
  2. Step 2: Convert to fraction form
    138,129.60/190,617.80 = 78,513.60/x
  3. Step 3: Cross multiply
    138,129.60x = 190,617.80 × 78,513.60
  4. Step 4: Simplify right side
    138,129.60x = 14,966,089,702.08
  5. Step 5: Solve for x
    x = 14,966,089,702.08/138,129.60
  6. Step 6: Final answer
    x = 108,348.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.