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Finding the Fourth Proportional to 203,547.63, 280,896.75 and 112,897.29

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Solution

The fourth proportional to 203,547.63, 280,896.75 and 112,897.29 is: 155,798.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,547.63 : 280,896.75 = 112,897.29 : x
  2. Step 2: Convert to fraction form
    203,547.63/280,896.75 = 112,897.29/x
  3. Step 3: Cross multiply
    203,547.63x = 280,896.75 × 112,897.29
  4. Step 4: Simplify right side
    203,547.63x = 31,712,481,844.81
  5. Step 5: Solve for x
    x = 31,712,481,844.81/203,547.63
  6. Step 6: Final answer
    x = 155,798.83

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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.