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Finding the Fourth Proportional to 208,265.42, 287,405.88 and 112,772.40

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Solution

The fourth proportional to 208,265.42, 287,405.88 and 112,772.40 is: 155,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,265.42 : 287,405.88 = 112,772.40 : x
  2. Step 2: Convert to fraction form
    208,265.42/287,405.88 = 112,772.40/x
  3. Step 3: Cross multiply
    208,265.42x = 287,405.88 × 112,772.40
  4. Step 4: Simplify right side
    208,265.42x = 32,411,450,861.71
  5. Step 5: Solve for x
    x = 32,411,450,861.71/208,265.42
  6. Step 6: Final answer
    x = 155,625.70

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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.