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Finding the Fourth Proportional to 187,648.16, 258,952.32 and 102,764.96

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Solution

The fourth proportional to 187,648.16, 258,952.32 and 102,764.96 is: 141,814.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,648.16 : 258,952.32 = 102,764.96 : x
  2. Step 2: Convert to fraction form
    187,648.16/258,952.32 = 102,764.96/x
  3. Step 3: Cross multiply
    187,648.16x = 258,952.32 × 102,764.96
  4. Step 4: Simplify right side
    187,648.16x = 26,611,224,806.71
  5. Step 5: Solve for x
    x = 26,611,224,806.71/187,648.16
  6. Step 6: Final answer
    x = 141,814.47

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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.