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Finding the Fourth Proportional to 209,909.61, 289,683.14 and 119,281.01

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Solution

The fourth proportional to 209,909.61, 289,683.14 and 119,281.01 is: 164,612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,909.61 : 289,683.14 = 119,281.01 : x
  2. Step 2: Convert to fraction form
    209,909.61/289,683.14 = 119,281.01/x
  3. Step 3: Cross multiply
    209,909.61x = 289,683.14 × 119,281.01
  4. Step 4: Simplify right side
    209,909.61x = 34,553,695,474.35
  5. Step 5: Solve for x
    x = 34,553,695,474.35/209,909.61
  6. Step 6: Final answer
    x = 164,612.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.