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Finding the Fourth Proportional to 109,685.50, 164,528.27 and 39,564.81

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Solution

The fourth proportional to 109,685.50, 164,528.27 and 39,564.81 is: 59,347.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,685.50 : 164,528.27 = 39,564.81 : x
  2. Step 2: Convert to fraction form
    109,685.50/164,528.27 = 39,564.81/x
  3. Step 3: Cross multiply
    109,685.50x = 164,528.27 × 39,564.81
  4. Step 4: Simplify right side
    109,685.50x = 6,509,529,742.18
  5. Step 5: Solve for x
    x = 6,509,529,742.18/109,685.50
  6. Step 6: Final answer
    x = 59,347.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.