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Finding the Fourth Proportional to 151,276.16, 208,758.88 and 84,208.16

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Solution

The fourth proportional to 151,276.16, 208,758.88 and 84,208.16 is: 116,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,276.16 : 208,758.88 = 84,208.16 : x
  2. Step 2: Convert to fraction form
    151,276.16/208,758.88 = 84,208.16/x
  3. Step 3: Cross multiply
    151,276.16x = 208,758.88 × 84,208.16
  4. Step 4: Simplify right side
    151,276.16x = 17,579,201,168.46
  5. Step 5: Solve for x
    x = 17,579,201,168.46/151,276.16
  6. Step 6: Final answer
    x = 116,206.02

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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.