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Finding the Fourth Proportional to 86,495.04, 129,664.48 and 31,078.08

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Solution

The fourth proportional to 86,495.04, 129,664.48 and 31,078.08 is: 46,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,495.04 : 129,664.48 = 31,078.08 : x
  2. Step 2: Convert to fraction form
    86,495.04/129,664.48 = 31,078.08/x
  3. Step 3: Cross multiply
    86,495.04x = 129,664.48 × 31,078.08
  4. Step 4: Simplify right side
    86,495.04x = 4,029,723,082.60
  5. Step 5: Solve for x
    x = 4,029,723,082.60/86,495.04
  6. Step 6: Final answer
    x = 46,589.07

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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.