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Finding the Fourth Proportional to 119,353.19, 164,704.11 and 65,638.20

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Solution

The fourth proportional to 119,353.19, 164,704.11 and 65,638.20 is: 90,578.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,353.19 : 164,704.11 = 65,638.20 : x
  2. Step 2: Convert to fraction form
    119,353.19/164,704.11 = 65,638.20/x
  3. Step 3: Cross multiply
    119,353.19x = 164,704.11 × 65,638.20
  4. Step 4: Simplify right side
    119,353.19x = 10,810,881,066.86
  5. Step 5: Solve for x
    x = 10,810,881,066.86/119,353.19
  6. Step 6: Final answer
    x = 90,578.91

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1.5x scale

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.