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Finding the Fourth Proportional to 189,077.64, 260,923.80 and 103,037.40

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Solution

The fourth proportional to 189,077.64, 260,923.80 and 103,037.40 is: 142,189.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,077.64 : 260,923.80 = 103,037.40 : x
  2. Step 2: Convert to fraction form
    189,077.64/260,923.80 = 103,037.40/x
  3. Step 3: Cross multiply
    189,077.64x = 260,923.80 × 103,037.40
  4. Step 4: Simplify right side
    189,077.64x = 26,884,909,950.12
  5. Step 5: Solve for x
    x = 26,884,909,950.12/189,077.64
  6. Step 6: Final answer
    x = 142,189.79

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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.