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Finding the Fourth Proportional to 209,200.98, 288,700.64 and 113,707.92

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Solution

The fourth proportional to 209,200.98, 288,700.64 and 113,707.92 is: 156,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,200.98 : 288,700.64 = 113,707.92 : x
  2. Step 2: Convert to fraction form
    209,200.98/288,700.64 = 113,707.92/x
  3. Step 3: Cross multiply
    209,200.98x = 288,700.64 × 113,707.92
  4. Step 4: Simplify right side
    209,200.98x = 32,827,549,277.07
  5. Step 5: Solve for x
    x = 32,827,549,277.07/209,200.98
  6. Step 6: Final answer
    x = 156,918.72

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1.5x scale

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.