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Finding the Fourth Proportional to 208,421.68, 287,620.02 and 112,928.08

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Solution

The fourth proportional to 208,421.68, 287,620.02 and 112,928.08 is: 155,839.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,421.68 : 287,620.02 = 112,928.08 : x
  2. Step 2: Convert to fraction form
    208,421.68/287,620.02 = 112,928.08/x
  3. Step 3: Cross multiply
    208,421.68x = 287,620.02 × 112,928.08
  4. Step 4: Simplify right side
    208,421.68x = 32,480,376,628.16
  5. Step 5: Solve for x
    x = 32,480,376,628.16/208,421.68
  6. Step 6: Final answer
    x = 155,839.72

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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.