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Finding the Fourth Proportional to 135,703.98, 187,055.64 and 106,977.06

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Solution

The fourth proportional to 135,703.98, 187,055.64 and 106,977.06 is: 147,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,703.98 : 187,055.64 = 106,977.06 : x
  2. Step 2: Convert to fraction form
    135,703.98/187,055.64 = 106,977.06/x
  3. Step 3: Cross multiply
    135,703.98x = 187,055.64 × 106,977.06
  4. Step 4: Simplify right side
    135,703.98x = 20,010,662,423.62
  5. Step 5: Solve for x
    x = 20,010,662,423.62/135,703.98
  6. Step 6: Final answer
    x = 147,458.18

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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.