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Finding the Fourth Proportional to 77,062.88, 106,343.28 and 48,397.40

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Solution

The fourth proportional to 77,062.88, 106,343.28 and 48,397.40 is: 66,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,062.88 : 106,343.28 = 48,397.40 : x
  2. Step 2: Convert to fraction form
    77,062.88/106,343.28 = 48,397.40/x
  3. Step 3: Cross multiply
    77,062.88x = 106,343.28 × 48,397.40
  4. Step 4: Simplify right side
    77,062.88x = 5,146,738,259.47
  5. Step 5: Solve for x
    x = 5,146,738,259.47/77,062.88
  6. Step 6: Final answer
    x = 66,786.22

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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.