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Finding the Fourth Proportional to 187,425.65, 258,653.57 and 102,540.77

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Solution

The fourth proportional to 187,425.65, 258,653.57 and 102,540.77 is: 141,509.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,425.65 : 258,653.57 = 102,540.77 : x
  2. Step 2: Convert to fraction form
    187,425.65/258,653.57 = 102,540.77/x
  3. Step 3: Cross multiply
    187,425.65x = 258,653.57 × 102,540.77
  4. Step 4: Simplify right side
    187,425.65x = 26,522,535,718.35
  5. Step 5: Solve for x
    x = 26,522,535,718.35/187,425.65
  6. Step 6: Final answer
    x = 141,509.64

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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.