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Finding the Fourth Proportional to 77,064.16, 106,305.96 and 62,739.40

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Solution

The fourth proportional to 77,064.16, 106,305.96 and 62,739.40 is: 86,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,064.16 : 106,305.96 = 62,739.40 : x
  2. Step 2: Convert to fraction form
    77,064.16/106,305.96 = 62,739.40/x
  3. Step 3: Cross multiply
    77,064.16x = 106,305.96 × 62,739.40
  4. Step 4: Simplify right side
    77,064.16x = 6,669,572,146.82
  5. Step 5: Solve for x
    x = 6,669,572,146.82/77,064.16
  6. Step 6: Final answer
    x = 86,545.71

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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.