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Finding the Fourth Proportional to 70,653.48, 97,491.42 and 40,434

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Solution

The fourth proportional to 70,653.48, 97,491.42 and 40,434 is: 55,792.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,653.48 : 97,491.42 = 40,434 : x
  2. Step 2: Convert to fraction form
    70,653.48/97,491.42 = 40,434/x
  3. Step 3: Cross multiply
    70,653.48x = 97,491.42 × 40,434
  4. Step 4: Simplify right side
    70,653.48x = 3,941,968,076.28
  5. Step 5: Solve for x
    x = 3,941,968,076.28/70,653.48
  6. Step 6: Final answer
    x = 55,792.98

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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.