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Finding the Fourth Proportional to 102,165.84, 140,989.56 and 56,845.74

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Solution

The fourth proportional to 102,165.84, 140,989.56 and 56,845.74 is: 78,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,165.84 : 140,989.56 = 56,845.74 : x
  2. Step 2: Convert to fraction form
    102,165.84/140,989.56 = 56,845.74/x
  3. Step 3: Cross multiply
    102,165.84x = 140,989.56 × 56,845.74
  4. Step 4: Simplify right side
    102,165.84x = 8,014,655,870.47
  5. Step 5: Solve for x
    x = 8,014,655,870.47/102,165.84
  6. Step 6: Final answer
    x = 78,447.51

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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.