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Finding the Fourth Proportional to 208,357.79, 287,535.14 and 112,864.49

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Solution

The fourth proportional to 208,357.79, 287,535.14 and 112,864.49 is: 155,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,357.79 : 287,535.14 = 112,864.49 : x
  2. Step 2: Convert to fraction form
    208,357.79/287,535.14 = 112,864.49/x
  3. Step 3: Cross multiply
    208,357.79x = 287,535.14 × 112,864.49
  4. Step 4: Simplify right side
    208,357.79x = 32,452,504,931.18
  5. Step 5: Solve for x
    x = 32,452,504,931.18/208,357.79
  6. Step 6: Final answer
    x = 155,753.74

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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.