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Finding the Fourth Proportional to 70,809.28, 97,701.12 and 40,984

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Solution

The fourth proportional to 70,809.28, 97,701.12 and 40,984 is: 56,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,809.28 : 97,701.12 = 40,984 : x
  2. Step 2: Convert to fraction form
    70,809.28/97,701.12 = 40,984/x
  3. Step 3: Cross multiply
    70,809.28x = 97,701.12 × 40,984
  4. Step 4: Simplify right side
    70,809.28x = 4,004,182,702.08
  5. Step 5: Solve for x
    x = 4,004,182,702.08/70,809.28
  6. Step 6: Final answer
    x = 56,548.84

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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.