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Finding the Fourth Proportional to 152,640.96, 210,633.12 and 85,560

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Solution

The fourth proportional to 152,640.96, 210,633.12 and 85,560 is: 118,066.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,640.96 : 210,633.12 = 85,560 : x
  2. Step 2: Convert to fraction form
    152,640.96/210,633.12 = 85,560/x
  3. Step 3: Cross multiply
    152,640.96x = 210,633.12 × 85,560
  4. Step 4: Simplify right side
    152,640.96x = 18,021,769,747.20
  5. Step 5: Solve for x
    x = 18,021,769,747.20/152,640.96
  6. Step 6: Final answer
    x = 118,066.41

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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.