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Finding the Fourth Proportional to 136,969.47, 189,036.68 and 78,825.02

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Solution

The fourth proportional to 136,969.47, 189,036.68 and 78,825.02 is: 108,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,969.47 : 189,036.68 = 78,825.02 : x
  2. Step 2: Convert to fraction form
    136,969.47/189,036.68 = 78,825.02/x
  3. Step 3: Cross multiply
    136,969.47x = 189,036.68 × 78,825.02
  4. Step 4: Simplify right side
    136,969.47x = 14,900,818,742.43
  5. Step 5: Solve for x
    x = 14,900,818,742.43/136,969.47
  6. Step 6: Final answer
    x = 108,789.34

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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.