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Finding the Fourth Proportional to 230,782.40, 346,328.40 and 81,022.40

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Solution

The fourth proportional to 230,782.40, 346,328.40 and 81,022.40 is: 121,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,782.40 : 346,328.40 = 81,022.40 : x
  2. Step 2: Convert to fraction form
    230,782.40/346,328.40 = 81,022.40/x
  3. Step 3: Cross multiply
    230,782.40x = 346,328.40 × 81,022.40
  4. Step 4: Simplify right side
    230,782.40x = 28,060,358,156.16
  5. Step 5: Solve for x
    x = 28,060,358,156.16/230,782.40
  6. Step 6: Final answer
    x = 121,587.95

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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.