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Finding the Fourth Proportional to 119,907.57, 165,472.73 and 65,459.77

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Solution

The fourth proportional to 119,907.57, 165,472.73 and 65,459.77 is: 90,334.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,907.57 : 165,472.73 = 65,459.77 : x
  2. Step 2: Convert to fraction form
    119,907.57/165,472.73 = 65,459.77/x
  3. Step 3: Cross multiply
    119,907.57x = 165,472.73 × 65,459.77
  4. Step 4: Simplify right side
    119,907.57x = 10,831,806,847.07
  5. Step 5: Solve for x
    x = 10,831,806,847.07/119,907.57
  6. Step 6: Final answer
    x = 90,334.64

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1.5x scale

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.