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Finding the Fourth Proportional to 134,823, 186,055.74 and 75,207

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Solution

The fourth proportional to 134,823, 186,055.74 and 75,207 is: 103,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,823 : 186,055.74 = 75,207 : x
  2. Step 2: Convert to fraction form
    134,823/186,055.74 = 75,207/x
  3. Step 3: Cross multiply
    134,823x = 186,055.74 × 75,207
  4. Step 4: Simplify right side
    134,823x = 13,992,694,038.18
  5. Step 5: Solve for x
    x = 13,992,694,038.18/134,823
  6. Step 6: Final answer
    x = 103,785.66

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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.