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Finding the Fourth Proportional to 78,132.40, 107,814.99 and 43,670.68

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Solution

The fourth proportional to 78,132.40, 107,814.99 and 43,670.68 is: 60,261.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,132.40 : 107,814.99 = 43,670.68 : x
  2. Step 2: Convert to fraction form
    78,132.40/107,814.99 = 43,670.68/x
  3. Step 3: Cross multiply
    78,132.40x = 107,814.99 × 43,670.68
  4. Step 4: Simplify right side
    78,132.40x = 4,708,353,927.49
  5. Step 5: Solve for x
    x = 4,708,353,927.49/78,132.40
  6. Step 6: Final answer
    x = 60,261.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.