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Finding the Fourth Proportional to 151,578, 209,177.64 and 84,510

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Solution

The fourth proportional to 151,578, 209,177.64 and 84,510 is: 116,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,578 : 209,177.64 = 84,510 : x
  2. Step 2: Convert to fraction form
    151,578/209,177.64 = 84,510/x
  3. Step 3: Cross multiply
    151,578x = 209,177.64 × 84,510
  4. Step 4: Simplify right side
    151,578x = 17,677,602,356.40
  5. Step 5: Solve for x
    x = 17,677,602,356.40/151,578
  6. Step 6: Final answer
    x = 116,623.80

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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.