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Finding the Fourth Proportional to 177,978.51, 266,632.16 and 138,343.05

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Solution

The fourth proportional to 177,978.51, 266,632.16 and 138,343.05 is: 207,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,978.51 : 266,632.16 = 138,343.05 : x
  2. Step 2: Convert to fraction form
    177,978.51/266,632.16 = 138,343.05/x
  3. Step 3: Cross multiply
    177,978.51x = 266,632.16 × 138,343.05
  4. Step 4: Simplify right side
    177,978.51x = 36,886,705,550.77
  5. Step 5: Solve for x
    x = 36,886,705,550.77/177,978.51
  6. Step 6: Final answer
    x = 207,253.70

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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.