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Finding the Fourth Proportional to 172,109.84, 258,075.65 and 77,258.34

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Solution

The fourth proportional to 172,109.84, 258,075.65 and 77,258.34 is: 115,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,109.84 : 258,075.65 = 77,258.34 : x
  2. Step 2: Convert to fraction form
    172,109.84/258,075.65 = 77,258.34/x
  3. Step 3: Cross multiply
    172,109.84x = 258,075.65 × 77,258.34
  4. Step 4: Simplify right side
    172,109.84x = 19,938,495,927.13
  5. Step 5: Solve for x
    x = 19,938,495,927.13/172,109.84
  6. Step 6: Final answer
    x = 115,847.51

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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.