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Finding the Fourth Proportional to 191,189.84, 286,922.28 and 71,263.28

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Solution

The fourth proportional to 191,189.84, 286,922.28 and 71,263.28 is: 106,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,189.84 : 286,922.28 = 71,263.28 : x
  2. Step 2: Convert to fraction form
    191,189.84/286,922.28 = 71,263.28/x
  3. Step 3: Cross multiply
    191,189.84x = 286,922.28 × 71,263.28
  4. Step 4: Simplify right side
    191,189.84x = 20,447,022,777.88
  5. Step 5: Solve for x
    x = 20,447,022,777.88/191,189.84
  6. Step 6: Final answer
    x = 106,946.18

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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.