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Finding the Fourth Proportional to 421,039.80, 631,602.21 and 136,718.46

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Solution

The fourth proportional to 421,039.80, 631,602.21 and 136,718.46 is: 205,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,039.80 : 631,602.21 = 136,718.46 : x
  2. Step 2: Convert to fraction form
    421,039.80/631,602.21 = 136,718.46/x
  3. Step 3: Cross multiply
    421,039.80x = 631,602.21 × 136,718.46
  4. Step 4: Simplify right side
    421,039.80x = 86,351,681,483.80
  5. Step 5: Solve for x
    x = 86,351,681,483.80/421,039.80
  6. Step 6: Final answer
    x = 205,091.49

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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.