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Finding the Fourth Proportional to 102,164.40, 140,984.01 and 56,840.04

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Solution

The fourth proportional to 102,164.40, 140,984.01 and 56,840.04 is: 78,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,164.40 : 140,984.01 = 56,840.04 : x
  2. Step 2: Convert to fraction form
    102,164.40/140,984.01 = 56,840.04/x
  3. Step 3: Cross multiply
    102,164.40x = 140,984.01 × 56,840.04
  4. Step 4: Simplify right side
    102,164.40x = 8,013,536,767.76
  5. Step 5: Solve for x
    x = 8,013,536,767.76/102,164.40
  6. Step 6: Final answer
    x = 78,437.66

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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.