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Finding the Fourth Proportional to 139,765.47, 209,509.70 and 55,476.06

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Solution

The fourth proportional to 139,765.47, 209,509.70 and 55,476.06 is: 83,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,765.47 : 209,509.70 = 55,476.06 : x
  2. Step 2: Convert to fraction form
    139,765.47/209,509.70 = 55,476.06/x
  3. Step 3: Cross multiply
    139,765.47x = 209,509.70 × 55,476.06
  4. Step 4: Simplify right side
    139,765.47x = 11,622,772,410.40
  5. Step 5: Solve for x
    x = 11,622,772,410.40/139,765.47
  6. Step 6: Final answer
    x = 83,159.11

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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.