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Finding the Fourth Proportional to 208,810.80, 288,159.08 and 113,317.49

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Solution

The fourth proportional to 208,810.80, 288,159.08 and 113,317.49 is: 156,378.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,810.80 : 288,159.08 = 113,317.49 : x
  2. Step 2: Convert to fraction form
    208,810.80/288,159.08 = 113,317.49/x
  3. Step 3: Cross multiply
    208,810.80x = 288,159.08 × 113,317.49
  4. Step 4: Simplify right side
    208,810.80x = 32,653,461,658.93
  5. Step 5: Solve for x
    x = 32,653,461,658.93/208,810.80
  6. Step 6: Final answer
    x = 156,378.22

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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.