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Finding the Fourth Proportional to 135,902.86, 187,539.60 and 75,477.40

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Solution

The fourth proportional to 135,902.86, 187,539.60 and 75,477.40 is: 104,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,902.86 : 187,539.60 = 75,477.40 : x
  2. Step 2: Convert to fraction form
    135,902.86/187,539.60 = 75,477.40/x
  3. Step 3: Cross multiply
    135,902.86x = 187,539.60 × 75,477.40
  4. Step 4: Simplify right side
    135,902.86x = 14,155,001,405.04
  5. Step 5: Solve for x
    x = 14,155,001,405.04/135,902.86
  6. Step 6: Final answer
    x = 104,155.29

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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.