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Finding the Fourth Proportional to 138,928.40, 208,085.40 and 83,632.40

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Solution

The fourth proportional to 138,928.40, 208,085.40 and 83,632.40 is: 125,263.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,928.40 : 208,085.40 = 83,632.40 : x
  2. Step 2: Convert to fraction form
    138,928.40/208,085.40 = 83,632.40/x
  3. Step 3: Cross multiply
    138,928.40x = 208,085.40 × 83,632.40
  4. Step 4: Simplify right side
    138,928.40x = 17,402,681,406.96
  5. Step 5: Solve for x
    x = 17,402,681,406.96/138,928.40
  6. Step 6: Final answer
    x = 125,263.67

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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.