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Finding the Fourth Proportional to 70,506, 97,298.28 and 40,698

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Solution

The fourth proportional to 70,506, 97,298.28 and 40,698 is: 56,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506 : 97,298.28 = 40,698 : x
  2. Step 2: Convert to fraction form
    70,506/97,298.28 = 40,698/x
  3. Step 3: Cross multiply
    70,506x = 97,298.28 × 40,698
  4. Step 4: Simplify right side
    70,506x = 3,959,845,399.44
  5. Step 5: Solve for x
    x = 3,959,845,399.44/70,506
  6. Step 6: Final answer
    x = 56,163.24

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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.