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Finding the Fourth Proportional to 257,083.92, 385,477.92 and 99,291.60

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Solution

The fourth proportional to 257,083.92, 385,477.92 and 99,291.60 is: 148,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,083.92 : 385,477.92 = 99,291.60 : x
  2. Step 2: Convert to fraction form
    257,083.92/385,477.92 = 99,291.60/x
  3. Step 3: Cross multiply
    257,083.92x = 385,477.92 × 99,291.60
  4. Step 4: Simplify right side
    257,083.92x = 38,274,719,441.47
  5. Step 5: Solve for x
    x = 38,274,719,441.47/257,083.92
  6. Step 6: Final answer
    x = 148,880.25

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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.