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Finding the Fourth Proportional to 187,704, 259,031.52 and 102,821.40

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Solution

The fourth proportional to 187,704, 259,031.52 and 102,821.40 is: 141,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,704 : 259,031.52 = 102,821.40 : x
  2. Step 2: Convert to fraction form
    187,704/259,031.52 = 102,821.40/x
  3. Step 3: Cross multiply
    187,704x = 259,031.52 × 102,821.40
  4. Step 4: Simplify right side
    187,704x = 26,633,983,530.53
  5. Step 5: Solve for x
    x = 26,633,983,530.53/187,704
  6. Step 6: Final answer
    x = 141,893.53

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1.5x scale

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.