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Finding the Fourth Proportional to 105,708.96, 145,882.98 and 63,259.20

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Solution

The fourth proportional to 105,708.96, 145,882.98 and 63,259.20 is: 87,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,708.96 : 145,882.98 = 63,259.20 : x
  2. Step 2: Convert to fraction form
    105,708.96/145,882.98 = 63,259.20/x
  3. Step 3: Cross multiply
    105,708.96x = 145,882.98 × 63,259.20
  4. Step 4: Simplify right side
    105,708.96x = 9,228,440,608.42
  5. Step 5: Solve for x
    x = 9,228,440,608.42/105,708.96
  6. Step 6: Final answer
    x = 87,300.46

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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.