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Finding the Fourth Proportional to 115,652.65, 159,551.77 and 77,424.51

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Solution

The fourth proportional to 115,652.65, 159,551.77 and 77,424.51 is: 106,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,652.65 : 159,551.77 = 77,424.51 : x
  2. Step 2: Convert to fraction form
    115,652.65/159,551.77 = 77,424.51/x
  3. Step 3: Cross multiply
    115,652.65x = 159,551.77 × 77,424.51
  4. Step 4: Simplify right side
    115,652.65x = 12,353,216,814.12
  5. Step 5: Solve for x
    x = 12,353,216,814.12/115,652.65
  6. Step 6: Final answer
    x = 106,813.09

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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.