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Finding the Fourth Proportional to 219,970.40, 329,890.80 and 86,806.40

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Solution

The fourth proportional to 219,970.40, 329,890.80 and 86,806.40 is: 130,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,970.40 : 329,890.80 = 86,806.40 : x
  2. Step 2: Convert to fraction form
    219,970.40/329,890.80 = 86,806.40/x
  3. Step 3: Cross multiply
    219,970.40x = 329,890.80 × 86,806.40
  4. Step 4: Simplify right side
    219,970.40x = 28,636,632,741.12
  5. Step 5: Solve for x
    x = 28,636,632,741.12/219,970.40
  6. Step 6: Final answer
    x = 130,184.03

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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.