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Finding the Fourth Proportional to 102,019.77, 140,783.90 and 56,079.56

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Solution

The fourth proportional to 102,019.77, 140,783.90 and 56,079.56 is: 77,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,019.77 : 140,783.90 = 56,079.56 : x
  2. Step 2: Convert to fraction form
    102,019.77/140,783.90 = 56,079.56/x
  3. Step 3: Cross multiply
    102,019.77x = 140,783.90 × 56,079.56
  4. Step 4: Simplify right side
    102,019.77x = 7,895,099,167.08
  5. Step 5: Solve for x
    x = 7,895,099,167.08/102,019.77
  6. Step 6: Final answer
    x = 77,387.93

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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.