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Finding the Fourth Proportional to 102,099.80, 140,886.94 and 56,770.47

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Solution

The fourth proportional to 102,099.80, 140,886.94 and 56,770.47 is: 78,337.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,099.80 : 140,886.94 = 56,770.47 : x
  2. Step 2: Convert to fraction form
    102,099.80/140,886.94 = 56,770.47/x
  3. Step 3: Cross multiply
    102,099.80x = 140,886.94 × 56,770.47
  4. Step 4: Simplify right side
    102,099.80x = 7,998,217,605.51
  5. Step 5: Solve for x
    x = 7,998,217,605.51/102,099.80
  6. Step 6: Final answer
    x = 78,337.25

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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.