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Finding the Fourth Proportional to 136,938.60, 205,407.90 and 135,095.40

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Solution

The fourth proportional to 136,938.60, 205,407.90 and 135,095.40 is: 202,643.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,938.60 : 205,407.90 = 135,095.40 : x
  2. Step 2: Convert to fraction form
    136,938.60/205,407.90 = 135,095.40/x
  3. Step 3: Cross multiply
    136,938.60x = 205,407.90 × 135,095.40
  4. Step 4: Simplify right side
    136,938.60x = 27,749,662,413.66
  5. Step 5: Solve for x
    x = 27,749,662,413.66/136,938.60
  6. Step 6: Final answer
    x = 202,643.10

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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.