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Finding the Fourth Proportional to 171,615.20, 257,159.64 and 78,011.60

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Solution

The fourth proportional to 171,615.20, 257,159.64 and 78,011.60 is: 116,897.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,615.20 : 257,159.64 = 78,011.60 : x
  2. Step 2: Convert to fraction form
    171,615.20/257,159.64 = 78,011.60/x
  3. Step 3: Cross multiply
    171,615.20x = 257,159.64 × 78,011.60
  4. Step 4: Simplify right side
    171,615.20x = 20,061,434,971.82
  5. Step 5: Solve for x
    x = 20,061,434,971.82/171,615.20
  6. Step 6: Final answer
    x = 116,897.77

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1.5x scale

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.