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Finding the Fourth Proportional to 51,402.57, 70,931.64 and 31,256.67

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Solution

The fourth proportional to 51,402.57, 70,931.64 and 31,256.67 is: 43,131.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402.57 : 70,931.64 = 31,256.67 : x
  2. Step 2: Convert to fraction form
    51,402.57/70,931.64 = 31,256.67/x
  3. Step 3: Cross multiply
    51,402.57x = 70,931.64 × 31,256.67
  4. Step 4: Simplify right side
    51,402.57x = 2,217,086,864.04
  5. Step 5: Solve for x
    x = 2,217,086,864.04/51,402.57
  6. Step 6: Final answer
    x = 43,131.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.