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Finding the Fourth Proportional to 120,102.12, 165,737.70 and 65,652.12

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Solution

The fourth proportional to 120,102.12, 165,737.70 and 65,652.12 is: 90,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,102.12 : 165,737.70 = 65,652.12 : x
  2. Step 2: Convert to fraction form
    120,102.12/165,737.70 = 65,652.12/x
  3. Step 3: Cross multiply
    120,102.12x = 165,737.70 × 65,652.12
  4. Step 4: Simplify right side
    120,102.12x = 10,881,031,368.92
  5. Step 5: Solve for x
    x = 10,881,031,368.92/120,102.12
  6. Step 6: Final answer
    x = 90,598.16

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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.