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Finding the Fourth Proportional to 70,636, 97,490.64 and 40,828

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Solution

The fourth proportional to 70,636, 97,490.64 and 40,828 is: 56,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,636 : 97,490.64 = 40,828 : x
  2. Step 2: Convert to fraction form
    70,636/97,490.64 = 40,828/x
  3. Step 3: Cross multiply
    70,636x = 97,490.64 × 40,828
  4. Step 4: Simplify right side
    70,636x = 3,980,347,849.92
  5. Step 5: Solve for x
    x = 3,980,347,849.92/70,636
  6. Step 6: Final answer
    x = 56,350.13

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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.