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Finding the Fourth Proportional to 102,411, 153,616.59 and 28,539

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Solution

The fourth proportional to 102,411, 153,616.59 and 28,539 is: 42,808.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,411 : 153,616.59 = 28,539 : x
  2. Step 2: Convert to fraction form
    102,411/153,616.59 = 28,539/x
  3. Step 3: Cross multiply
    102,411x = 153,616.59 × 28,539
  4. Step 4: Simplify right side
    102,411x = 4,384,063,862.01
  5. Step 5: Solve for x
    x = 4,384,063,862.01/102,411
  6. Step 6: Final answer
    x = 42,808.53

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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.