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Finding the Fourth Proportional to 261,142.51, 391,723.04 and 83,626.45

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Solution

The fourth proportional to 261,142.51, 391,723.04 and 83,626.45 is: 125,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,142.51 : 391,723.04 = 83,626.45 : x
  2. Step 2: Convert to fraction form
    261,142.51/391,723.04 = 83,626.45/x
  3. Step 3: Cross multiply
    261,142.51x = 391,723.04 × 83,626.45
  4. Step 4: Simplify right side
    261,142.51x = 32,758,406,448.17
  5. Step 5: Solve for x
    x = 32,758,406,448.17/261,142.51
  6. Step 6: Final answer
    x = 125,442.64

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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.