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Finding the Fourth Proportional to 84,386, 126,496.20 and 46,964

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Solution

The fourth proportional to 84,386, 126,496.20 and 46,964 is: 70,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,386 : 126,496.20 = 46,964 : x
  2. Step 2: Convert to fraction form
    84,386/126,496.20 = 46,964/x
  3. Step 3: Cross multiply
    84,386x = 126,496.20 × 46,964
  4. Step 4: Simplify right side
    84,386x = 5,940,767,536.80
  5. Step 5: Solve for x
    x = 5,940,767,536.80/84,386
  6. Step 6: Final answer
    x = 70,399.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.