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Finding the Fourth Proportional to 70,464, 97,244.64 and 40,656

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Solution

The fourth proportional to 70,464, 97,244.64 and 40,656 is: 56,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,464 : 97,244.64 = 40,656 : x
  2. Step 2: Convert to fraction form
    70,464/97,244.64 = 40,656/x
  3. Step 3: Cross multiply
    70,464x = 97,244.64 × 40,656
  4. Step 4: Simplify right side
    70,464x = 3,953,578,083.84
  5. Step 5: Solve for x
    x = 3,953,578,083.84/70,464
  6. Step 6: Final answer
    x = 56,107.77

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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.