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Finding the Fourth Proportional to 120,271.53, 165,970.62 and 66,558.81

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Solution

The fourth proportional to 120,271.53, 165,970.62 and 66,558.81 is: 91,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,271.53 : 165,970.62 = 66,558.81 : x
  2. Step 2: Convert to fraction form
    120,271.53/165,970.62 = 66,558.81/x
  3. Step 3: Cross multiply
    120,271.53x = 165,970.62 × 66,558.81
  4. Step 4: Simplify right side
    120,271.53x = 11,046,806,962.16
  5. Step 5: Solve for x
    x = 11,046,806,962.16/120,271.53
  6. Step 6: Final answer
    x = 91,848.89

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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.