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Finding the Fourth Proportional to 70,425, 97,186.50 and 40,617

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Solution

The fourth proportional to 70,425, 97,186.50 and 40,617 is: 56,051.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,425 : 97,186.50 = 40,617 : x
  2. Step 2: Convert to fraction form
    70,425/97,186.50 = 40,617/x
  3. Step 3: Cross multiply
    70,425x = 97,186.50 × 40,617
  4. Step 4: Simplify right side
    70,425x = 3,947,424,070.50
  5. Step 5: Solve for x
    x = 3,947,424,070.50/70,425
  6. Step 6: Final answer
    x = 56,051.46

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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.