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Finding the Fourth Proportional to 100,143, 138,199.50 and 55,431

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Solution

The fourth proportional to 100,143, 138,199.50 and 55,431 is: 76,495.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,143 : 138,199.50 = 55,431 : x
  2. Step 2: Convert to fraction form
    100,143/138,199.50 = 55,431/x
  3. Step 3: Cross multiply
    100,143x = 138,199.50 × 55,431
  4. Step 4: Simplify right side
    100,143x = 7,660,536,484.50
  5. Step 5: Solve for x
    x = 7,660,536,484.50/100,143
  6. Step 6: Final answer
    x = 76,495.98

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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.