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Finding the Fourth Proportional to 138,172.95, 190,701.54 and 87,213.42

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Solution

The fourth proportional to 138,172.95, 190,701.54 and 87,213.42 is: 120,368.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,172.95 : 190,701.54 = 87,213.42 : x
  2. Step 2: Convert to fraction form
    138,172.95/190,701.54 = 87,213.42/x
  3. Step 3: Cross multiply
    138,172.95x = 190,701.54 × 87,213.42
  4. Step 4: Simplify right side
    138,172.95x = 16,631,733,502.67
  5. Step 5: Solve for x
    x = 16,631,733,502.67/138,172.95
  6. Step 6: Final answer
    x = 120,368.95

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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.