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Finding the Fourth Proportional to 138,698.64, 191,403.63 and 75,036.47

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Solution

The fourth proportional to 138,698.64, 191,403.63 and 75,036.47 is: 103,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,698.64 : 191,403.63 = 75,036.47 : x
  2. Step 2: Convert to fraction form
    138,698.64/191,403.63 = 75,036.47/x
  3. Step 3: Cross multiply
    138,698.64x = 191,403.63 × 75,036.47
  4. Step 4: Simplify right side
    138,698.64x = 14,362,251,783.37
  5. Step 5: Solve for x
    x = 14,362,251,783.37/138,698.64
  6. Step 6: Final answer
    x = 103,550.05

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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.