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Finding the Fourth Proportional to 342,536.40, 513,853.82 and 105,897.53

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Solution

The fourth proportional to 342,536.40, 513,853.82 and 105,897.53 is: 158,861.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,536.40 : 513,853.82 = 105,897.53 : x
  2. Step 2: Convert to fraction form
    342,536.40/513,853.82 = 105,897.53/x
  3. Step 3: Cross multiply
    342,536.40x = 513,853.82 × 105,897.53
  4. Step 4: Simplify right side
    342,536.40x = 54,415,850,319.06
  5. Step 5: Solve for x
    x = 54,415,850,319.06/342,536.40
  6. Step 6: Final answer
    x = 158,861.51

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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.