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Finding the Fourth Proportional to 187,274, 258,438.12 and 102,391.68

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Solution

The fourth proportional to 187,274, 258,438.12 and 102,391.68 is: 141,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,274 : 258,438.12 = 102,391.68 : x
  2. Step 2: Convert to fraction form
    187,274/258,438.12 = 102,391.68/x
  3. Step 3: Cross multiply
    187,274x = 258,438.12 × 102,391.68
  4. Step 4: Simplify right side
    187,274x = 26,461,913,282.84
  5. Step 5: Solve for x
    x = 26,461,913,282.84/187,274
  6. Step 6: Final answer
    x = 141,300.52

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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.