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Finding the Fourth Proportional to 156,995.99, 235,461 and 51,790.31

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Solution

The fourth proportional to 156,995.99, 235,461 and 51,790.31 is: 77,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,995.99 : 235,461 = 51,790.31 : x
  2. Step 2: Convert to fraction form
    156,995.99/235,461 = 51,790.31/x
  3. Step 3: Cross multiply
    156,995.99x = 235,461 × 51,790.31
  4. Step 4: Simplify right side
    156,995.99x = 12,194,598,182.91
  5. Step 5: Solve for x
    x = 12,194,598,182.91/156,995.99
  6. Step 6: Final answer
    x = 77,674.58

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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.