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Finding the Fourth Proportional to 285,091.59, 427,604.51 and 74,746.23

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Solution

The fourth proportional to 285,091.59, 427,604.51 and 74,746.23 is: 112,110.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,091.59 : 427,604.51 = 74,746.23 : x
  2. Step 2: Convert to fraction form
    285,091.59/427,604.51 = 74,746.23/x
  3. Step 3: Cross multiply
    285,091.59x = 427,604.51 × 74,746.23
  4. Step 4: Simplify right side
    285,091.59x = 31,961,824,679.77
  5. Step 5: Solve for x
    x = 31,961,824,679.77/285,091.59
  6. Step 6: Final answer
    x = 112,110.72

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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.