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Finding the Fourth Proportional to 120,095.28, 165,806.16 and 83,368.08

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Solution

The fourth proportional to 120,095.28, 165,806.16 and 83,368.08 is: 115,099.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,095.28 : 165,806.16 = 83,368.08 : x
  2. Step 2: Convert to fraction form
    120,095.28/165,806.16 = 83,368.08/x
  3. Step 3: Cross multiply
    120,095.28x = 165,806.16 × 83,368.08
  4. Step 4: Simplify right side
    120,095.28x = 13,822,941,211.37
  5. Step 5: Solve for x
    x = 13,822,941,211.37/120,095.28
  6. Step 6: Final answer
    x = 115,099.79

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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.