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Finding the Fourth Proportional to 208,206.68, 287,325.16 and 112,713.32

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Solution

The fourth proportional to 208,206.68, 287,325.16 and 112,713.32 is: 155,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,206.68 : 287,325.16 = 112,713.32 : x
  2. Step 2: Convert to fraction form
    208,206.68/287,325.16 = 112,713.32/x
  3. Step 3: Cross multiply
    208,206.68x = 287,325.16 × 112,713.32
  4. Step 4: Simplify right side
    208,206.68x = 32,385,372,703.13
  5. Step 5: Solve for x
    x = 32,385,372,703.13/208,206.68
  6. Step 6: Final answer
    x = 155,544.35

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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.