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Finding the Fourth Proportional to 201,097.52, 277,411.93 and 128,424.02

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Solution

The fourth proportional to 201,097.52, 277,411.93 and 128,424.02 is: 177,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,097.52 : 277,411.93 = 128,424.02 : x
  2. Step 2: Convert to fraction form
    201,097.52/277,411.93 = 128,424.02/x
  3. Step 3: Cross multiply
    201,097.52x = 277,411.93 × 128,424.02
  4. Step 4: Simplify right side
    201,097.52x = 35,626,355,246.56
  5. Step 5: Solve for x
    x = 35,626,355,246.56/201,097.52
  6. Step 6: Final answer
    x = 177,159.60

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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.