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Finding the Fourth Proportional to 210,037.93, 314,953.21 and 91,658.05

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Solution

The fourth proportional to 210,037.93, 314,953.21 and 91,658.05 is: 137,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,037.93 : 314,953.21 = 91,658.05 : x
  2. Step 2: Convert to fraction form
    210,037.93/314,953.21 = 91,658.05/x
  3. Step 3: Cross multiply
    210,037.93x = 314,953.21 × 91,658.05
  4. Step 4: Simplify right side
    210,037.93x = 28,867,996,397.03
  5. Step 5: Solve for x
    x = 28,867,996,397.03/210,037.93
  6. Step 6: Final answer
    x = 137,441.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.