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Finding the Fourth Proportional to 209,988.55, 289,776.98 and 119,342.93

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Solution

The fourth proportional to 209,988.55, 289,776.98 and 119,342.93 is: 164,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,988.55 : 289,776.98 = 119,342.93 : x
  2. Step 2: Convert to fraction form
    209,988.55/289,776.98 = 119,342.93/x
  3. Step 3: Cross multiply
    209,988.55x = 289,776.98 × 119,342.93
  4. Step 4: Simplify right side
    209,988.55x = 34,582,833,243.04
  5. Step 5: Solve for x
    x = 34,582,833,243.04/209,988.55
  6. Step 6: Final answer
    x = 164,689.14

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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.