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Finding the Fourth Proportional to 257,357.92, 385,942 and 88,835.36

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Solution

The fourth proportional to 257,357.92, 385,942 and 88,835.36 is: 133,220.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,357.92 : 385,942 = 88,835.36 : x
  2. Step 2: Convert to fraction form
    257,357.92/385,942 = 88,835.36/x
  3. Step 3: Cross multiply
    257,357.92x = 385,942 × 88,835.36
  4. Step 4: Simplify right side
    257,357.92x = 34,285,296,509.12
  5. Step 5: Solve for x
    x = 34,285,296,509.12/257,357.92
  6. Step 6: Final answer
    x = 133,220.29

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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.