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Finding the Fourth Proportional to 137,159.44, 189,387.40 and 105,277.84

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Solution

The fourth proportional to 137,159.44, 189,387.40 and 105,277.84 is: 145,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,159.44 : 189,387.40 = 105,277.84 : x
  2. Step 2: Convert to fraction form
    137,159.44/189,387.40 = 105,277.84/x
  3. Step 3: Cross multiply
    137,159.44x = 189,387.40 × 105,277.84
  4. Step 4: Simplify right side
    137,159.44x = 19,938,296,395.22
  5. Step 5: Solve for x
    x = 19,938,296,395.22/137,159.44
  6. Step 6: Final answer
    x = 145,365.83

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1.5x scale

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.