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Finding the Fourth Proportional to 102,169.94, 140,990.98 and 56,225.30

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Solution

The fourth proportional to 102,169.94, 140,990.98 and 56,225.30 is: 77,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,169.94 : 140,990.98 = 56,225.30 : x
  2. Step 2: Convert to fraction form
    102,169.94/140,990.98 = 56,225.30/x
  3. Step 3: Cross multiply
    102,169.94x = 140,990.98 × 56,225.30
  4. Step 4: Simplify right side
    102,169.94x = 7,927,260,147.79
  5. Step 5: Solve for x
    x = 7,927,260,147.79/102,169.94
  6. Step 6: Final answer
    x = 77,588.97

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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.