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Finding the Fourth Proportional to 130,806.42, 195,962.04 and 77,338.32

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Solution

The fourth proportional to 130,806.42, 195,962.04 and 77,338.32 is: 115,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,806.42 : 195,962.04 = 77,338.32 : x
  2. Step 2: Convert to fraction form
    130,806.42/195,962.04 = 77,338.32/x
  3. Step 3: Cross multiply
    130,806.42x = 195,962.04 × 77,338.32
  4. Step 4: Simplify right side
    130,806.42x = 15,155,374,957.37
  5. Step 5: Solve for x
    x = 15,155,374,957.37/130,806.42
  6. Step 6: Final answer
    x = 115,861.09

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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.