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Finding the Fourth Proportional to 208,059.74, 287,120.40 and 112,564.40

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Solution

The fourth proportional to 208,059.74, 287,120.40 and 112,564.40 is: 155,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,059.74 : 287,120.40 = 112,564.40 : x
  2. Step 2: Convert to fraction form
    208,059.74/287,120.40 = 112,564.40/x
  3. Step 3: Cross multiply
    208,059.74x = 287,120.40 × 112,564.40
  4. Step 4: Simplify right side
    208,059.74x = 32,319,535,553.76
  5. Step 5: Solve for x
    x = 32,319,535,553.76/208,059.74
  6. Step 6: Final answer
    x = 155,337.77

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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.