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Finding the Fourth Proportional to 134,840, 186,079.28 and 75,224

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Solution

The fourth proportional to 134,840, 186,079.28 and 75,224 is: 103,809.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,840 : 186,079.28 = 75,224 : x
  2. Step 2: Convert to fraction form
    134,840/186,079.28 = 75,224/x
  3. Step 3: Cross multiply
    134,840x = 186,079.28 × 75,224
  4. Step 4: Simplify right side
    134,840x = 13,997,627,758.72
  5. Step 5: Solve for x
    x = 13,997,627,758.72/134,840
  6. Step 6: Final answer
    x = 103,809.16

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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.