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Finding the Fourth Proportional to 78,529, 117,831.30 and 39,089.56

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Solution

The fourth proportional to 78,529, 117,831.30 and 39,089.56 is: 58,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,529 : 117,831.30 = 39,089.56 : x
  2. Step 2: Convert to fraction form
    78,529/117,831.30 = 39,089.56/x
  3. Step 3: Cross multiply
    78,529x = 117,831.30 × 39,089.56
  4. Step 4: Simplify right side
    78,529x = 4,605,973,671.23
  5. Step 5: Solve for x
    x = 4,605,973,671.23/78,529
  6. Step 6: Final answer
    x = 58,653.16

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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.