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Finding the Fourth Proportional to 208,302.80, 287,457.21 and 112,809.47

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Solution

The fourth proportional to 208,302.80, 287,457.21 and 112,809.47 is: 155,676.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,302.80 : 287,457.21 = 112,809.47 : x
  2. Step 2: Convert to fraction form
    208,302.80/287,457.21 = 112,809.47/x
  3. Step 3: Cross multiply
    208,302.80x = 287,457.21 × 112,809.47
  4. Step 4: Simplify right side
    208,302.80x = 32,427,894,070.49
  5. Step 5: Solve for x
    x = 32,427,894,070.49/208,302.80
  6. Step 6: Final answer
    x = 155,676.71

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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.