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Finding the Fourth Proportional to 230,528.16, 318,137.76 and 129,924

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Solution

The fourth proportional to 230,528.16, 318,137.76 and 129,924 is: 179,300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,528.16 : 318,137.76 = 129,924 : x
  2. Step 2: Convert to fraction form
    230,528.16/318,137.76 = 129,924/x
  3. Step 3: Cross multiply
    230,528.16x = 318,137.76 × 129,924
  4. Step 4: Simplify right side
    230,528.16x = 41,333,730,330.24
  5. Step 5: Solve for x
    x = 41,333,730,330.24/230,528.16
  6. Step 6: Final answer
    x = 179,300.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.