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Finding the Fourth Proportional to 139,852.53, 209,695.82 and 55,567.47

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Solution

The fourth proportional to 139,852.53, 209,695.82 and 55,567.47 is: 83,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,852.53 : 209,695.82 = 55,567.47 : x
  2. Step 2: Convert to fraction form
    139,852.53/209,695.82 = 55,567.47/x
  3. Step 3: Cross multiply
    139,852.53x = 209,695.82 × 55,567.47
  4. Step 4: Simplify right side
    139,852.53x = 11,652,265,909.14
  5. Step 5: Solve for x
    x = 11,652,265,909.14/139,852.53
  6. Step 6: Final answer
    x = 83,318.23

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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.