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Finding the Fourth Proportional to 208,123.04, 287,209.76 and 112,629.74

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Solution

The fourth proportional to 208,123.04, 287,209.76 and 112,629.74 is: 155,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,123.04 : 287,209.76 = 112,629.74 : x
  2. Step 2: Convert to fraction form
    208,123.04/287,209.76 = 112,629.74/x
  3. Step 3: Cross multiply
    208,123.04x = 287,209.76 × 112,629.74
  4. Step 4: Simplify right side
    208,123.04x = 32,348,358,595.06
  5. Step 5: Solve for x
    x = 32,348,358,595.06/208,123.04
  6. Step 6: Final answer
    x = 155,429.02

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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.