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Finding the Fourth Proportional to 77,402.72, 106,814.76 and 43,419.76

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Solution

The fourth proportional to 77,402.72, 106,814.76 and 43,419.76 is: 59,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,402.72 : 106,814.76 = 43,419.76 : x
  2. Step 2: Convert to fraction form
    77,402.72/106,814.76 = 43,419.76/x
  3. Step 3: Cross multiply
    77,402.72x = 106,814.76 × 43,419.76
  4. Step 4: Simplify right side
    77,402.72x = 4,637,871,243.66
  5. Step 5: Solve for x
    x = 4,637,871,243.66/77,402.72
  6. Step 6: Final answer
    x = 59,918.71

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1.5x scale

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.