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Finding the Fourth Proportional to 139,526.60, 192,544.42 and 75,866

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Solution

The fourth proportional to 139,526.60, 192,544.42 and 75,866 is: 104,693.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,526.60 : 192,544.42 = 75,866 : x
  2. Step 2: Convert to fraction form
    139,526.60/192,544.42 = 75,866/x
  3. Step 3: Cross multiply
    139,526.60x = 192,544.42 × 75,866
  4. Step 4: Simplify right side
    139,526.60x = 14,607,574,967.72
  5. Step 5: Solve for x
    x = 14,607,574,967.72/139,526.60
  6. Step 6: Final answer
    x = 104,693.84

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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.