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Finding the Fourth Proportional to 187,894.32, 259,091.64 and 142,655.28

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Solution

The fourth proportional to 187,894.32, 259,091.64 and 142,655.28 is: 196,710.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,894.32 : 259,091.64 = 142,655.28 : x
  2. Step 2: Convert to fraction form
    187,894.32/259,091.64 = 142,655.28/x
  3. Step 3: Cross multiply
    187,894.32x = 259,091.64 × 142,655.28
  4. Step 4: Simplify right side
    187,894.32x = 36,960,790,449.86
  5. Step 5: Solve for x
    x = 36,960,790,449.86/187,894.32
  6. Step 6: Final answer
    x = 196,710.53

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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.