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Finding the Fourth Proportional to 202,159.40, 302,801.70 and 108,555.80

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Solution

The fourth proportional to 202,159.40, 302,801.70 and 108,555.80 is: 162,598.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,159.40 : 302,801.70 = 108,555.80 : x
  2. Step 2: Convert to fraction form
    202,159.40/302,801.70 = 108,555.80/x
  3. Step 3: Cross multiply
    202,159.40x = 302,801.70 × 108,555.80
  4. Step 4: Simplify right side
    202,159.40x = 32,870,880,784.86
  5. Step 5: Solve for x
    x = 32,870,880,784.86/202,159.40
  6. Step 6: Final answer
    x = 162,598.82

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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.