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Finding the Fourth Proportional to 151,448.77, 209,000.70 and 83,468.17

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Solution

The fourth proportional to 151,448.77, 209,000.70 and 83,468.17 is: 115,186.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,448.77 : 209,000.70 = 83,468.17 : x
  2. Step 2: Convert to fraction form
    151,448.77/209,000.70 = 83,468.17/x
  3. Step 3: Cross multiply
    151,448.77x = 209,000.70 × 83,468.17
  4. Step 4: Simplify right side
    151,448.77x = 17,444,905,957.72
  5. Step 5: Solve for x
    x = 17,444,905,957.72/151,448.77
  6. Step 6: Final answer
    x = 115,186.84

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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.