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Finding the Fourth Proportional to 187,760, 259,108.80 and 102,880.10

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Solution

The fourth proportional to 187,760, 259,108.80 and 102,880.10 is: 141,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,760 : 259,108.80 = 102,880.10 : x
  2. Step 2: Convert to fraction form
    187,760/259,108.80 = 102,880.10/x
  3. Step 3: Cross multiply
    187,760x = 259,108.80 × 102,880.10
  4. Step 4: Simplify right side
    187,760x = 26,657,139,254.88
  5. Step 5: Solve for x
    x = 26,657,139,254.88/187,760
  6. Step 6: Final answer
    x = 141,974.54

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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.