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Finding the Fourth Proportional to 97,811.60, 146,717.40 and 86,536.40

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Solution

The fourth proportional to 97,811.60, 146,717.40 and 86,536.40 is: 129,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,811.60 : 146,717.40 = 86,536.40 : x
  2. Step 2: Convert to fraction form
    97,811.60/146,717.40 = 86,536.40/x
  3. Step 3: Cross multiply
    97,811.60x = 146,717.40 × 86,536.40
  4. Step 4: Simplify right side
    97,811.60x = 12,696,395,613.36
  5. Step 5: Solve for x
    x = 12,696,395,613.36/97,811.60
  6. Step 6: Final answer
    x = 129,804.60

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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.