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Finding the Fourth Proportional to 208,291.64, 287,441.73 and 112,798.58

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Solution

The fourth proportional to 208,291.64, 287,441.73 and 112,798.58 is: 155,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,291.64 : 287,441.73 = 112,798.58 : x
  2. Step 2: Convert to fraction form
    208,291.64/287,441.73 = 112,798.58/x
  3. Step 3: Cross multiply
    208,291.64x = 287,441.73 × 112,798.58
  4. Step 4: Simplify right side
    208,291.64x = 32,423,017,539.53
  5. Step 5: Solve for x
    x = 32,423,017,539.53/208,291.64
  6. Step 6: Final answer
    x = 155,661.64

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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.