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Finding the Fourth Proportional to 161,811.47, 242,066.78 and 139,860.47

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Solution

The fourth proportional to 161,811.47, 242,066.78 and 139,860.47 is: 209,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,811.47 : 242,066.78 = 139,860.47 : x
  2. Step 2: Convert to fraction form
    161,811.47/242,066.78 = 139,860.47/x
  3. Step 3: Cross multiply
    161,811.47x = 242,066.78 × 139,860.47
  4. Step 4: Simplify right side
    161,811.47x = 33,855,574,052.53
  5. Step 5: Solve for x
    x = 33,855,574,052.53/161,811.47
  6. Step 6: Final answer
    x = 209,228.51

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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.