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Finding the Fourth Proportional to 187,203.96, 258,341.40 and 102,321

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Solution

The fourth proportional to 187,203.96, 258,341.40 and 102,321 is: 141,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,203.96 : 258,341.40 = 102,321 : x
  2. Step 2: Convert to fraction form
    187,203.96/258,341.40 = 102,321/x
  3. Step 3: Cross multiply
    187,203.96x = 258,341.40 × 102,321
  4. Step 4: Simplify right side
    187,203.96x = 26,433,750,389.40
  5. Step 5: Solve for x
    x = 26,433,750,389.40/187,203.96
  6. Step 6: Final answer
    x = 141,202.94

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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.