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Finding the Fourth Proportional to 114,749.40, 172,148.40 and 34,780.80

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Solution

The fourth proportional to 114,749.40, 172,148.40 and 34,780.80 is: 52,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,749.40 : 172,148.40 = 34,780.80 : x
  2. Step 2: Convert to fraction form
    114,749.40/172,148.40 = 34,780.80/x
  3. Step 3: Cross multiply
    114,749.40x = 172,148.40 × 34,780.80
  4. Step 4: Simplify right side
    114,749.40x = 5,987,459,070.72
  5. Step 5: Solve for x
    x = 5,987,459,070.72/114,749.40
  6. Step 6: Final answer
    x = 52,178.57

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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.