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Finding the Fourth Proportional to 70,509, 97,302.42 and 40,701

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Solution

The fourth proportional to 70,509, 97,302.42 and 40,701 is: 56,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,509 : 97,302.42 = 40,701 : x
  2. Step 2: Convert to fraction form
    70,509/97,302.42 = 40,701/x
  3. Step 3: Cross multiply
    70,509x = 97,302.42 × 40,701
  4. Step 4: Simplify right side
    70,509x = 3,960,305,796.42
  5. Step 5: Solve for x
    x = 3,960,305,796.42/70,509
  6. Step 6: Final answer
    x = 56,167.38

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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.