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Finding the Fourth Proportional to 213,051.77, 319,578.11 and 86,602.77

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Solution

The fourth proportional to 213,051.77, 319,578.11 and 86,602.77 is: 129,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,051.77 : 319,578.11 = 86,602.77 : x
  2. Step 2: Convert to fraction form
    213,051.77/319,578.11 = 86,602.77/x
  3. Step 3: Cross multiply
    213,051.77x = 319,578.11 × 86,602.77
  4. Step 4: Simplify right side
    213,051.77x = 27,676,349,449.11
  5. Step 5: Solve for x
    x = 27,676,349,449.11/213,051.77
  6. Step 6: Final answer
    x = 129,904.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.