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Finding the Fourth Proportional to 125,282.25, 172,970.15 and 111,830.49

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Solution

The fourth proportional to 125,282.25, 172,970.15 and 111,830.49 is: 154,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,282.25 : 172,970.15 = 111,830.49 : x
  2. Step 2: Convert to fraction form
    125,282.25/172,970.15 = 111,830.49/x
  3. Step 3: Cross multiply
    125,282.25x = 172,970.15 × 111,830.49
  4. Step 4: Simplify right side
    125,282.25x = 19,343,336,070.72
  5. Step 5: Solve for x
    x = 19,343,336,070.72/125,282.25
  6. Step 6: Final answer
    x = 154,398.06

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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.