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Finding the Fourth Proportional to 101,792.70, 140,475.06 and 56,471.78

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Solution

The fourth proportional to 101,792.70, 140,475.06 and 56,471.78 is: 77,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,792.70 : 140,475.06 = 56,471.78 : x
  2. Step 2: Convert to fraction form
    101,792.70/140,475.06 = 56,471.78/x
  3. Step 3: Cross multiply
    101,792.70x = 140,475.06 × 56,471.78
  4. Step 4: Simplify right side
    101,792.70x = 7,932,877,034.99
  5. Step 5: Solve for x
    x = 7,932,877,034.99/101,792.70
  6. Step 6: Final answer
    x = 77,931.69

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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.