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Finding the Fourth Proportional to 151,595.84, 209,203.08 and 83,615.20

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Solution

The fourth proportional to 151,595.84, 209,203.08 and 83,615.20 is: 115,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,595.84 : 209,203.08 = 83,615.20 : x
  2. Step 2: Convert to fraction form
    151,595.84/209,203.08 = 83,615.20/x
  3. Step 3: Cross multiply
    151,595.84x = 209,203.08 × 83,615.20
  4. Step 4: Simplify right side
    151,595.84x = 17,492,557,374.82
  5. Step 5: Solve for x
    x = 17,492,557,374.82/151,595.84
  6. Step 6: Final answer
    x = 115,389.43

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1.5x scale

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.