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Finding the Fourth Proportional to 138,762.83, 191,492.81 and 75,100.68

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Solution

The fourth proportional to 138,762.83, 191,492.81 and 75,100.68 is: 103,639.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,762.83 : 191,492.81 = 75,100.68 : x
  2. Step 2: Convert to fraction form
    138,762.83/191,492.81 = 75,100.68/x
  3. Step 3: Cross multiply
    138,762.83x = 191,492.81 × 75,100.68
  4. Step 4: Simplify right side
    138,762.83x = 14,381,240,246.11
  5. Step 5: Solve for x
    x = 14,381,240,246.11/138,762.83
  6. Step 6: Final answer
    x = 103,639.00

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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.