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Finding the Fourth Proportional to 89,258.94, 133,746.12 and 47,137.32

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Solution

The fourth proportional to 89,258.94, 133,746.12 and 47,137.32 is: 70,630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,258.94 : 133,746.12 = 47,137.32 : x
  2. Step 2: Convert to fraction form
    89,258.94/133,746.12 = 47,137.32/x
  3. Step 3: Cross multiply
    89,258.94x = 133,746.12 × 47,137.32
  4. Step 4: Simplify right side
    89,258.94x = 6,304,433,657.20
  5. Step 5: Solve for x
    x = 6,304,433,657.20/89,258.94
  6. Step 6: Final answer
    x = 70,630.84

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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.