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Finding the Fourth Proportional to 133,602.41, 200,341.29 and 77,458.61

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Solution

The fourth proportional to 133,602.41, 200,341.29 and 77,458.61 is: 116,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,602.41 : 200,341.29 = 77,458.61 : x
  2. Step 2: Convert to fraction form
    133,602.41/200,341.29 = 77,458.61/x
  3. Step 3: Cross multiply
    133,602.41x = 200,341.29 × 77,458.61
  4. Step 4: Simplify right side
    133,602.41x = 15,518,157,849.01
  5. Step 5: Solve for x
    x = 15,518,157,849.01/133,602.41
  6. Step 6: Final answer
    x = 116,151.78

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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.