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Finding the Fourth Proportional to 209,572.81, 314,182.88 and 91,154.96

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Solution

The fourth proportional to 209,572.81, 314,182.88 and 91,154.96 is: 136,655.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,572.81 : 314,182.88 = 91,154.96 : x
  2. Step 2: Convert to fraction form
    209,572.81/314,182.88 = 91,154.96/x
  3. Step 3: Cross multiply
    209,572.81x = 314,182.88 × 91,154.96
  4. Step 4: Simplify right side
    209,572.81x = 28,639,327,859.08
  5. Step 5: Solve for x
    x = 28,639,327,859.08/209,572.81
  6. Step 6: Final answer
    x = 136,655.74

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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.