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Finding the Fourth Proportional to 289,978.80, 435,097.80 and 103,124.40

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Solution

The fourth proportional to 289,978.80, 435,097.80 and 103,124.40 is: 154,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,978.80 : 435,097.80 = 103,124.40 : x
  2. Step 2: Convert to fraction form
    289,978.80/435,097.80 = 103,124.40/x
  3. Step 3: Cross multiply
    289,978.80x = 435,097.80 × 103,124.40
  4. Step 4: Simplify right side
    289,978.80x = 44,869,199,566.32
  5. Step 5: Solve for x
    x = 44,869,199,566.32/289,978.80
  6. Step 6: Final answer
    x = 154,732.69

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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.