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Finding the Fourth Proportional to 139,688.16, 192,769.11 and 76,026.48

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Solution

The fourth proportional to 139,688.16, 192,769.11 and 76,026.48 is: 104,916.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,688.16 : 192,769.11 = 76,026.48 : x
  2. Step 2: Convert to fraction form
    139,688.16/192,769.11 = 76,026.48/x
  3. Step 3: Cross multiply
    139,688.16x = 192,769.11 × 76,026.48
  4. Step 4: Simplify right side
    139,688.16x = 14,655,556,886.03
  5. Step 5: Solve for x
    x = 14,655,556,886.03/139,688.16
  6. Step 6: Final answer
    x = 104,916.24

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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.