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Finding the Fourth Proportional to 77,971.84, 116,792.16 and 75,243.76

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Solution

The fourth proportional to 77,971.84, 116,792.16 and 75,243.76 is: 112,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,971.84 : 116,792.16 = 75,243.76 : x
  2. Step 2: Convert to fraction form
    77,971.84/116,792.16 = 75,243.76/x
  3. Step 3: Cross multiply
    77,971.84x = 116,792.16 × 75,243.76
  4. Step 4: Simplify right side
    77,971.84x = 8,787,881,256.92
  5. Step 5: Solve for x
    x = 8,787,881,256.92/77,971.84
  6. Step 6: Final answer
    x = 112,705.83

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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.