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Finding the Fourth Proportional to 145,530.40, 217,858.20 and 86,335.60

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Solution

The fourth proportional to 145,530.40, 217,858.20 and 86,335.60 is: 129,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,530.40 : 217,858.20 = 86,335.60 : x
  2. Step 2: Convert to fraction form
    145,530.40/217,858.20 = 86,335.60/x
  3. Step 3: Cross multiply
    145,530.40x = 217,858.20 × 86,335.60
  4. Step 4: Simplify right side
    145,530.40x = 18,808,918,411.92
  5. Step 5: Solve for x
    x = 18,808,918,411.92/145,530.40
  6. Step 6: Final answer
    x = 129,243.91

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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.