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Finding the Fourth Proportional to 187,762.78, 259,111.20 and 102,878.02

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Solution

The fourth proportional to 187,762.78, 259,111.20 and 102,878.02 is: 141,970.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,762.78 : 259,111.20 = 102,878.02 : x
  2. Step 2: Convert to fraction form
    187,762.78/259,111.20 = 102,878.02/x
  3. Step 3: Cross multiply
    187,762.78x = 259,111.20 × 102,878.02
  4. Step 4: Simplify right side
    187,762.78x = 26,656,847,215.82
  5. Step 5: Solve for x
    x = 26,656,847,215.82/187,762.78
  6. Step 6: Final answer
    x = 141,970.88

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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.