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Finding the Fourth Proportional to 102,158.84, 140,980.49 and 56,223.77

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Solution

The fourth proportional to 102,158.84, 140,980.49 and 56,223.77 is: 77,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,158.84 : 140,980.49 = 56,223.77 : x
  2. Step 2: Convert to fraction form
    102,158.84/140,980.49 = 56,223.77/x
  3. Step 3: Cross multiply
    102,158.84x = 140,980.49 × 56,223.77
  4. Step 4: Simplify right side
    102,158.84x = 7,926,453,658.23
  5. Step 5: Solve for x
    x = 7,926,453,658.23/102,158.84
  6. Step 6: Final answer
    x = 77,589.51

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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.