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Finding the Fourth Proportional to 161,458.69, 242,188.19 and 77,199.04

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Solution

The fourth proportional to 161,458.69, 242,188.19 and 77,199.04 is: 115,798.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,458.69 : 242,188.19 = 77,199.04 : x
  2. Step 2: Convert to fraction form
    161,458.69/242,188.19 = 77,199.04/x
  3. Step 3: Cross multiply
    161,458.69x = 242,188.19 × 77,199.04
  4. Step 4: Simplify right side
    161,458.69x = 18,696,695,767.34
  5. Step 5: Solve for x
    x = 18,696,695,767.34/161,458.69
  6. Step 6: Final answer
    x = 115,798.63

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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.