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Finding the Fourth Proportional to 120,431, 180,689.94 and 64,211.96

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Solution

The fourth proportional to 120,431, 180,689.94 and 64,211.96 is: 96,341.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,431 : 180,689.94 = 64,211.96 : x
  2. Step 2: Convert to fraction form
    120,431/180,689.94 = 64,211.96/x
  3. Step 3: Cross multiply
    120,431x = 180,689.94 × 64,211.96
  4. Step 4: Simplify right side
    120,431x = 11,602,455,199.68
  5. Step 5: Solve for x
    x = 11,602,455,199.68/120,431
  6. Step 6: Final answer
    x = 96,341.10

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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.