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Finding the Fourth Proportional to 289,875.90, 434,878.65 and 112,367.10

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Solution

The fourth proportional to 289,875.90, 434,878.65 and 112,367.10 is: 168,575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,875.90 : 434,878.65 = 112,367.10 : x
  2. Step 2: Convert to fraction form
    289,875.90/434,878.65 = 112,367.10/x
  3. Step 3: Cross multiply
    289,875.90x = 434,878.65 × 112,367.10
  4. Step 4: Simplify right side
    289,875.90x = 48,866,052,752.42
  5. Step 5: Solve for x
    x = 48,866,052,752.42/289,875.90
  6. Step 6: Final answer
    x = 168,575.77

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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.