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Finding the Fourth Proportional to 151,641, 209,264.58 and 84,573

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Solution

The fourth proportional to 151,641, 209,264.58 and 84,573 is: 116,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,641 : 209,264.58 = 84,573 : x
  2. Step 2: Convert to fraction form
    151,641/209,264.58 = 84,573/x
  3. Step 3: Cross multiply
    151,641x = 209,264.58 × 84,573
  4. Step 4: Simplify right side
    151,641x = 17,698,133,324.34
  5. Step 5: Solve for x
    x = 17,698,133,324.34/151,641
  6. Step 6: Final answer
    x = 116,710.74

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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.