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Finding the Fourth Proportional to 107,567.80, 148,289.70 and 71,744.74

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Solution

The fourth proportional to 107,567.80, 148,289.70 and 71,744.74 is: 98,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,567.80 : 148,289.70 = 71,744.74 : x
  2. Step 2: Convert to fraction form
    107,567.80/148,289.70 = 71,744.74/x
  3. Step 3: Cross multiply
    107,567.80x = 148,289.70 × 71,744.74
  4. Step 4: Simplify right side
    107,567.80x = 10,639,005,971.18
  5. Step 5: Solve for x
    x = 10,639,005,971.18/107,567.80
  6. Step 6: Final answer
    x = 98,905.12

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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.