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Finding the Fourth Proportional to 191,054.32, 286,309.90 and 140,738.74

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Solution

The fourth proportional to 191,054.32, 286,309.90 and 140,738.74 is: 210,908.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,054.32 : 286,309.90 = 140,738.74 : x
  2. Step 2: Convert to fraction form
    191,054.32/286,309.90 = 140,738.74/x
  3. Step 3: Cross multiply
    191,054.32x = 286,309.90 × 140,738.74
  4. Step 4: Simplify right side
    191,054.32x = 40,294,894,575.53
  5. Step 5: Solve for x
    x = 40,294,894,575.53/191,054.32
  6. Step 6: Final answer
    x = 210,908.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.