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Finding the Fourth Proportional to 219,834.40, 329,686.80 and 86,670.40

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Solution

The fourth proportional to 219,834.40, 329,686.80 and 86,670.40 is: 129,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,834.40 : 329,686.80 = 86,670.40 : x
  2. Step 2: Convert to fraction form
    219,834.40/329,686.80 = 86,670.40/x
  3. Step 3: Cross multiply
    219,834.40x = 329,686.80 × 86,670.40
  4. Step 4: Simplify right side
    219,834.40x = 28,574,086,830.72
  5. Step 5: Solve for x
    x = 28,574,086,830.72/219,834.40
  6. Step 6: Final answer
    x = 129,980.05

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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.