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Finding the Fourth Proportional to 208,016.28, 287,062.14 and 112,522.68

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Solution

The fourth proportional to 208,016.28, 287,062.14 and 112,522.68 is: 155,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,016.28 : 287,062.14 = 112,522.68 : x
  2. Step 2: Convert to fraction form
    208,016.28/287,062.14 = 112,522.68/x
  3. Step 3: Cross multiply
    208,016.28x = 287,062.14 × 112,522.68
  4. Step 4: Simplify right side
    208,016.28x = 32,301,001,319.34
  5. Step 5: Solve for x
    x = 32,301,001,319.34/208,016.28
  6. Step 6: Final answer
    x = 155,281.12

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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.