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Finding the Fourth Proportional to 86,729, 119,686.50 and 46,985

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Solution

The fourth proportional to 86,729, 119,686.50 and 46,985 is: 64,839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,729 : 119,686.50 = 46,985 : x
  2. Step 2: Convert to fraction form
    86,729/119,686.50 = 46,985/x
  3. Step 3: Cross multiply
    86,729x = 119,686.50 × 46,985
  4. Step 4: Simplify right side
    86,729x = 5,623,470,202.50
  5. Step 5: Solve for x
    x = 5,623,470,202.50/86,729
  6. Step 6: Final answer
    x = 64,839.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.