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Finding the Fourth Proportional to 138,762.99, 191,492.60 and 75,100.83

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Solution

The fourth proportional to 138,762.99, 191,492.60 and 75,100.83 is: 103,638.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,762.99 : 191,492.60 = 75,100.83 : x
  2. Step 2: Convert to fraction form
    138,762.99/191,492.60 = 75,100.83/x
  3. Step 3: Cross multiply
    138,762.99x = 191,492.60 × 75,100.83
  4. Step 4: Simplify right side
    138,762.99x = 14,381,252,823.35
  5. Step 5: Solve for x
    x = 14,381,252,823.35/138,762.99
  6. Step 6: Final answer
    x = 103,638.97

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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.