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Finding the Fourth Proportional to 139,868.36, 209,985.47 and 83,046

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Solution

The fourth proportional to 139,868.36, 209,985.47 and 83,046 is: 124,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,868.36 : 209,985.47 = 83,046 : x
  2. Step 2: Convert to fraction form
    139,868.36/209,985.47 = 83,046/x
  3. Step 3: Cross multiply
    139,868.36x = 209,985.47 × 83,046
  4. Step 4: Simplify right side
    139,868.36x = 17,438,453,341.62
  5. Step 5: Solve for x
    x = 17,438,453,341.62/139,868.36
  6. Step 6: Final answer
    x = 124,677.61

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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.