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Finding the Fourth Proportional to 77,638.08, 107,032 and 65,653.28

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Solution

The fourth proportional to 77,638.08, 107,032 and 65,653.28 is: 90,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,638.08 : 107,032 = 65,653.28 : x
  2. Step 2: Convert to fraction form
    77,638.08/107,032 = 65,653.28/x
  3. Step 3: Cross multiply
    77,638.08x = 107,032 × 65,653.28
  4. Step 4: Simplify right side
    77,638.08x = 7,027,001,864.96
  5. Step 5: Solve for x
    x = 7,027,001,864.96/77,638.08
  6. Step 6: Final answer
    x = 90,509.73

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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.