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Finding the Fourth Proportional to 139,838.19, 209,569.76 and 76,563.01

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Solution

The fourth proportional to 139,838.19, 209,569.76 and 76,563.01 is: 114,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,838.19 : 209,569.76 = 76,563.01 : x
  2. Step 2: Convert to fraction form
    139,838.19/209,569.76 = 76,563.01/x
  3. Step 3: Cross multiply
    139,838.19x = 209,569.76 × 76,563.01
  4. Step 4: Simplify right side
    139,838.19x = 16,045,291,630.58
  5. Step 5: Solve for x
    x = 16,045,291,630.58/139,838.19
  6. Step 6: Final answer
    x = 114,741.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.