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Finding the Fourth Proportional to 171,752.98, 257,407.70 and 76,913.86

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Solution

The fourth proportional to 171,752.98, 257,407.70 and 76,913.86 is: 115,271.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,752.98 : 257,407.70 = 76,913.86 : x
  2. Step 2: Convert to fraction form
    171,752.98/257,407.70 = 76,913.86/x
  3. Step 3: Cross multiply
    171,752.98x = 257,407.70 × 76,913.86
  4. Step 4: Simplify right side
    171,752.98x = 19,798,219,800.72
  5. Step 5: Solve for x
    x = 19,798,219,800.72/171,752.98
  6. Step 6: Final answer
    x = 115,271.48

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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.