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Finding the Fourth Proportional to 191,109.80, 286,743.29 and 84,437.46

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Solution

The fourth proportional to 191,109.80, 286,743.29 and 84,437.46 is: 126,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,109.80 : 286,743.29 = 84,437.46 : x
  2. Step 2: Convert to fraction form
    191,109.80/286,743.29 = 84,437.46/x
  3. Step 3: Cross multiply
    191,109.80x = 286,743.29 × 84,437.46
  4. Step 4: Simplify right side
    191,109.80x = 24,211,874,657.46
  5. Step 5: Solve for x
    x = 24,211,874,657.46/191,109.80
  6. Step 6: Final answer
    x = 126,690.91

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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.