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Finding the Fourth Proportional to 135,088.50, 186,433.65 and 75,484.02

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Solution

The fourth proportional to 135,088.50, 186,433.65 and 75,484.02 is: 104,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,088.50 : 186,433.65 = 75,484.02 : x
  2. Step 2: Convert to fraction form
    135,088.50/186,433.65 = 75,484.02/x
  3. Step 3: Cross multiply
    135,088.50x = 186,433.65 × 75,484.02
  4. Step 4: Simplify right side
    135,088.50x = 14,072,761,365.27
  5. Step 5: Solve for x
    x = 14,072,761,365.27/135,088.50
  6. Step 6: Final answer
    x = 104,174.38

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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.