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Finding the Fourth Proportional to 187,282.50, 258,449.94 and 102,400.26

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Solution

The fourth proportional to 187,282.50, 258,449.94 and 102,400.26 is: 141,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,282.50 : 258,449.94 = 102,400.26 : x
  2. Step 2: Convert to fraction form
    187,282.50/258,449.94 = 102,400.26/x
  3. Step 3: Cross multiply
    187,282.50x = 258,449.94 × 102,400.26
  4. Step 4: Simplify right side
    187,282.50x = 26,465,341,052.98
  5. Step 5: Solve for x
    x = 26,465,341,052.98/187,282.50
  6. Step 6: Final answer
    x = 141,312.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.