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Finding the Fourth Proportional to 208,378.16, 287,563.26 and 112,884.90

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Solution

The fourth proportional to 208,378.16, 287,563.26 and 112,884.90 is: 155,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,378.16 : 287,563.26 = 112,884.90 : x
  2. Step 2: Convert to fraction form
    208,378.16/287,563.26 = 112,884.90/x
  3. Step 3: Cross multiply
    208,378.16x = 287,563.26 × 112,884.90
  4. Step 4: Simplify right side
    208,378.16x = 32,461,549,848.77
  5. Step 5: Solve for x
    x = 32,461,549,848.77/208,378.16
  6. Step 6: Final answer
    x = 155,781.92

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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.