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Finding the Fourth Proportional to 172,110.84, 258,077.14 and 77,259.34

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Solution

The fourth proportional to 172,110.84, 258,077.14 and 77,259.34 is: 115,849.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,110.84 : 258,077.14 = 77,259.34 : x
  2. Step 2: Convert to fraction form
    172,110.84/258,077.14 = 77,259.34/x
  3. Step 3: Cross multiply
    172,110.84x = 258,077.14 × 77,259.34
  4. Step 4: Simplify right side
    172,110.84x = 19,938,869,505.49
  5. Step 5: Solve for x
    x = 19,938,869,505.49/172,110.84
  6. Step 6: Final answer
    x = 115,849.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.