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Finding the Fourth Proportional to 209,488.93, 289,101.25 and 118,848.71

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Solution

The fourth proportional to 209,488.93, 289,101.25 and 118,848.71 is: 164,014.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,488.93 : 289,101.25 = 118,848.71 : x
  2. Step 2: Convert to fraction form
    209,488.93/289,101.25 = 118,848.71/x
  3. Step 3: Cross multiply
    209,488.93x = 289,101.25 × 118,848.71
  4. Step 4: Simplify right side
    209,488.93x = 34,359,311,047.52
  5. Step 5: Solve for x
    x = 34,359,311,047.52/209,488.93
  6. Step 6: Final answer
    x = 164,014.93

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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.