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Finding the Fourth Proportional to 102,411.41, 153,616.95 and 28,539.41

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Solution

The fourth proportional to 102,411.41, 153,616.95 and 28,539.41 is: 42,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,411.41 : 153,616.95 = 28,539.41 : x
  2. Step 2: Convert to fraction form
    102,411.41/153,616.95 = 28,539.41/x
  3. Step 3: Cross multiply
    102,411.41x = 153,616.95 × 28,539.41
  4. Step 4: Simplify right side
    102,411.41x = 4,384,136,350.91
  5. Step 5: Solve for x
    x = 4,384,136,350.91/102,411.41
  6. Step 6: Final answer
    x = 42,809.06

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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.