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Finding the Fourth Proportional to 109,486.81, 164,157.28 and 39,357.01

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Solution

The fourth proportional to 109,486.81, 164,157.28 and 39,357.01 is: 59,009.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,486.81 : 164,157.28 = 39,357.01 : x
  2. Step 2: Convert to fraction form
    109,486.81/164,157.28 = 39,357.01/x
  3. Step 3: Cross multiply
    109,486.81x = 164,157.28 × 39,357.01
  4. Step 4: Simplify right side
    109,486.81x = 6,460,739,710.53
  5. Step 5: Solve for x
    x = 6,460,739,710.53/109,486.81
  6. Step 6: Final answer
    x = 59,009.30

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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.