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Finding the Fourth Proportional to 100,314, 138,433.34 and 55,602

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Solution

The fourth proportional to 100,314, 138,433.34 and 55,602 is: 76,730.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,314 : 138,433.34 = 55,602 : x
  2. Step 2: Convert to fraction form
    100,314/138,433.34 = 55,602/x
  3. Step 3: Cross multiply
    100,314x = 138,433.34 × 55,602
  4. Step 4: Simplify right side
    100,314x = 7,697,170,570.68
  5. Step 5: Solve for x
    x = 7,697,170,570.68/100,314
  6. Step 6: Final answer
    x = 76,730.77

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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.