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Finding the Fourth Proportional to 77,707.70, 116,619.15 and 51,403.70

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Solution

The fourth proportional to 77,707.70, 116,619.15 and 51,403.70 is: 77,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,707.70 : 116,619.15 = 51,403.70 : x
  2. Step 2: Convert to fraction form
    77,707.70/116,619.15 = 51,403.70/x
  3. Step 3: Cross multiply
    77,707.70x = 116,619.15 × 51,403.70
  4. Step 4: Simplify right side
    77,707.70x = 5,994,655,800.86
  5. Step 5: Solve for x
    x = 5,994,655,800.86/77,707.70
  6. Step 6: Final answer
    x = 77,143.65

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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.