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Finding the Fourth Proportional to 134,946, 186,225.48 and 75,330

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Solution

The fourth proportional to 134,946, 186,225.48 and 75,330 is: 103,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,946 : 186,225.48 = 75,330 : x
  2. Step 2: Convert to fraction form
    134,946/186,225.48 = 75,330/x
  3. Step 3: Cross multiply
    134,946x = 186,225.48 × 75,330
  4. Step 4: Simplify right side
    134,946x = 14,028,365,408.40
  5. Step 5: Solve for x
    x = 14,028,365,408.40/134,946
  6. Step 6: Final answer
    x = 103,955.40

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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.