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Finding the Fourth Proportional to 102,039.70, 140,808.75 and 56,716.12

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Solution

The fourth proportional to 102,039.70, 140,808.75 and 56,716.12 is: 78,264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,039.70 : 140,808.75 = 56,716.12 : x
  2. Step 2: Convert to fraction form
    102,039.70/140,808.75 = 56,716.12/x
  3. Step 3: Cross multiply
    102,039.70x = 140,808.75 × 56,716.12
  4. Step 4: Simplify right side
    102,039.70x = 7,986,125,962.05
  5. Step 5: Solve for x
    x = 7,986,125,962.05/102,039.70
  6. Step 6: Final answer
    x = 78,264.89

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1.5x scale

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.