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Finding the Fourth Proportional to 138,338.92, 190,914.81 and 84,607.07

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Solution

The fourth proportional to 138,338.92, 190,914.81 and 84,607.07 is: 116,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,338.92 : 190,914.81 = 84,607.07 : x
  2. Step 2: Convert to fraction form
    138,338.92/190,914.81 = 84,607.07/x
  3. Step 3: Cross multiply
    138,338.92x = 190,914.81 × 84,607.07
  4. Step 4: Simplify right side
    138,338.92x = 16,152,742,693.71
  5. Step 5: Solve for x
    x = 16,152,742,693.71/138,338.92
  6. Step 6: Final answer
    x = 116,762.10

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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.