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Finding the Fourth Proportional to 132,458, 182,859.76 and 102,175.34

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Solution

The fourth proportional to 132,458, 182,859.76 and 102,175.34 is: 141,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,458 : 182,859.76 = 102,175.34 : x
  2. Step 2: Convert to fraction form
    132,458/182,859.76 = 102,175.34/x
  3. Step 3: Cross multiply
    132,458x = 182,859.76 × 102,175.34
  4. Step 4: Simplify right side
    132,458x = 18,683,758,150.32
  5. Step 5: Solve for x
    x = 18,683,758,150.32/132,458
  6. Step 6: Final answer
    x = 141,054.21

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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.