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Finding the Fourth Proportional to 139,881.25, 209,854.65 and 55,646.21

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Solution

The fourth proportional to 139,881.25, 209,854.65 and 55,646.21 is: 83,482.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,881.25 : 209,854.65 = 55,646.21 : x
  2. Step 2: Convert to fraction form
    139,881.25/209,854.65 = 55,646.21/x
  3. Step 3: Cross multiply
    139,881.25x = 209,854.65 × 55,646.21
  4. Step 4: Simplify right side
    139,881.25x = 11,677,615,163.24
  5. Step 5: Solve for x
    x = 11,677,615,163.24/139,881.25
  6. Step 6: Final answer
    x = 83,482.35

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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.