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Finding the Fourth Proportional to 77,343, 106,717.14 and 45,515.40

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Solution

The fourth proportional to 77,343, 106,717.14 and 45,515.40 is: 62,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,343 : 106,717.14 = 45,515.40 : x
  2. Step 2: Convert to fraction form
    77,343/106,717.14 = 45,515.40/x
  3. Step 3: Cross multiply
    77,343x = 106,717.14 × 45,515.40
  4. Step 4: Simplify right side
    77,343x = 4,857,273,313.96
  5. Step 5: Solve for x
    x = 4,857,273,313.96/77,343
  6. Step 6: Final answer
    x = 62,801.72

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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.