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Finding the Fourth Proportional to 187,762, 259,111.56 and 102,882.28

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Solution

The fourth proportional to 187,762, 259,111.56 and 102,882.28 is: 141,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,762 : 259,111.56 = 102,882.28 : x
  2. Step 2: Convert to fraction form
    187,762/259,111.56 = 102,882.28/x
  3. Step 3: Cross multiply
    187,762x = 259,111.56 × 102,882.28
  4. Step 4: Simplify right side
    187,762x = 26,657,988,067.16
  5. Step 5: Solve for x
    x = 26,657,988,067.16/187,762
  6. Step 6: Final answer
    x = 141,977.55

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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.