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Finding the Fourth Proportional to 77,343.39, 106,702 and 47,117.68

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Solution

The fourth proportional to 77,343.39, 106,702 and 47,117.68 is: 65,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,343.39 : 106,702 = 47,117.68 : x
  2. Step 2: Convert to fraction form
    77,343.39/106,702 = 47,117.68/x
  3. Step 3: Cross multiply
    77,343.39x = 106,702 × 47,117.68
  4. Step 4: Simplify right side
    77,343.39x = 5,027,550,691.36
  5. Step 5: Solve for x
    x = 5,027,550,691.36/77,343.39
  6. Step 6: Final answer
    x = 65,002.98

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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.