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Finding the Fourth Proportional to 207,977.42, 287,009.02 and 112,484.11

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Solution

The fourth proportional to 207,977.42, 287,009.02 and 112,484.11 is: 155,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,977.42 : 287,009.02 = 112,484.11 : x
  2. Step 2: Convert to fraction form
    207,977.42/287,009.02 = 112,484.11/x
  3. Step 3: Cross multiply
    207,977.42x = 287,009.02 × 112,484.11
  4. Step 4: Simplify right side
    207,977.42x = 32,283,954,176.67
  5. Step 5: Solve for x
    x = 32,283,954,176.67/207,977.42
  6. Step 6: Final answer
    x = 155,228.17

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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.