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Finding the Fourth Proportional to 106,903.20, 160,009.20 and 83,402.40

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Solution

The fourth proportional to 106,903.20, 160,009.20 and 83,402.40 is: 124,833.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,903.20 : 160,009.20 = 83,402.40 : x
  2. Step 2: Convert to fraction form
    106,903.20/160,009.20 = 83,402.40/x
  3. Step 3: Cross multiply
    106,903.20x = 160,009.20 × 83,402.40
  4. Step 4: Simplify right side
    106,903.20x = 13,345,151,302.08
  5. Step 5: Solve for x
    x = 13,345,151,302.08/106,903.20
  6. Step 6: Final answer
    x = 124,833.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.