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Finding the Fourth Proportional to 86,377.66, 129,289.47 and 46,296.64

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Solution

The fourth proportional to 86,377.66, 129,289.47 and 46,296.64 is: 69,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,377.66 : 129,289.47 = 46,296.64 : x
  2. Step 2: Convert to fraction form
    86,377.66/129,289.47 = 46,296.64/x
  3. Step 3: Cross multiply
    86,377.66x = 129,289.47 × 46,296.64
  4. Step 4: Simplify right side
    86,377.66x = 5,985,668,048.38
  5. Step 5: Solve for x
    x = 5,985,668,048.38/86,377.66
  6. Step 6: Final answer
    x = 69,296.48

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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.