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Finding the Fourth Proportional to 208,807.95, 288,155.16 and 113,314.65

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Solution

The fourth proportional to 208,807.95, 288,155.16 and 113,314.65 is: 156,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,807.95 : 288,155.16 = 113,314.65 : x
  2. Step 2: Convert to fraction form
    208,807.95/288,155.16 = 113,314.65/x
  3. Step 3: Cross multiply
    208,807.95x = 288,155.16 × 113,314.65
  4. Step 4: Simplify right side
    208,807.95x = 32,652,201,101.09
  5. Step 5: Solve for x
    x = 32,652,201,101.09/208,807.95
  6. Step 6: Final answer
    x = 156,374.32

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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.