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Finding the Fourth Proportional to 114,003.60, 171,005.40 and 47,421.60

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Solution

The fourth proportional to 114,003.60, 171,005.40 and 47,421.60 is: 71,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,003.60 : 171,005.40 = 47,421.60 : x
  2. Step 2: Convert to fraction form
    114,003.60/171,005.40 = 47,421.60/x
  3. Step 3: Cross multiply
    114,003.60x = 171,005.40 × 47,421.60
  4. Step 4: Simplify right side
    114,003.60x = 8,109,349,676.64
  5. Step 5: Solve for x
    x = 8,109,349,676.64/114,003.60
  6. Step 6: Final answer
    x = 71,132.40

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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.