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Finding the Fourth Proportional to 70,500, 97,298.64 and 40,692

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Solution

The fourth proportional to 70,500, 97,298.64 and 40,692 is: 56,159.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,500 : 97,298.64 = 40,692 : x
  2. Step 2: Convert to fraction form
    70,500/97,298.64 = 40,692/x
  3. Step 3: Cross multiply
    70,500x = 97,298.64 × 40,692
  4. Step 4: Simplify right side
    70,500x = 3,959,276,258.88
  5. Step 5: Solve for x
    x = 3,959,276,258.88/70,500
  6. Step 6: Final answer
    x = 56,159.95

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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.