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Finding the Fourth Proportional to 107,820.16, 148,767.04 and 65,369.92

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Solution

The fourth proportional to 107,820.16, 148,767.04 and 65,369.92 is: 90,195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,820.16 : 148,767.04 = 65,369.92 : x
  2. Step 2: Convert to fraction form
    107,820.16/148,767.04 = 65,369.92/x
  3. Step 3: Cross multiply
    107,820.16x = 148,767.04 × 65,369.92
  4. Step 4: Simplify right side
    107,820.16x = 9,724,889,503.44
  5. Step 5: Solve for x
    x = 9,724,889,503.44/107,820.16
  6. Step 6: Final answer
    x = 90,195.47

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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.