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Finding the Fourth Proportional to 208,464.12, 287,681.49 and 112,970.88

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Solution

The fourth proportional to 208,464.12, 287,681.49 and 112,970.88 is: 155,900.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,464.12 : 287,681.49 = 112,970.88 : x
  2. Step 2: Convert to fraction form
    208,464.12/287,681.49 = 112,970.88/x
  3. Step 3: Cross multiply
    208,464.12x = 287,681.49 × 112,970.88
  4. Step 4: Simplify right side
    208,464.12x = 32,499,631,085.01
  5. Step 5: Solve for x
    x = 32,499,631,085.01/208,464.12
  6. Step 6: Final answer
    x = 155,900.36

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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.