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Finding the Fourth Proportional to 257,389.96, 385,990.14 and 88,867.24

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Solution

The fourth proportional to 257,389.96, 385,990.14 and 88,867.24 is: 133,268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,389.96 : 385,990.14 = 88,867.24 : x
  2. Step 2: Convert to fraction form
    257,389.96/385,990.14 = 88,867.24/x
  3. Step 3: Cross multiply
    257,389.96x = 385,990.14 × 88,867.24
  4. Step 4: Simplify right side
    257,389.96x = 34,301,878,409.01
  5. Step 5: Solve for x
    x = 34,301,878,409.01/257,389.96
  6. Step 6: Final answer
    x = 133,268.13

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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.