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Finding the Fourth Proportional to 191,055.58, 286,311.78 and 140,740.00

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Solution

The fourth proportional to 191,055.58, 286,311.78 and 140,740.00 is: 210,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,055.58 : 286,311.78 = 140,740.00 : x
  2. Step 2: Convert to fraction form
    191,055.58/286,311.78 = 140,740.00/x
  3. Step 3: Cross multiply
    191,055.58x = 286,311.78 × 140,740.00
  4. Step 4: Simplify right side
    191,055.58x = 40,295,519,201.42
  5. Step 5: Solve for x
    x = 40,295,519,201.42/191,055.58
  6. Step 6: Final answer
    x = 210,909.93

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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.