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Finding the Fourth Proportional to 125,214.88, 172,782.48 and 77,499.04

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Solution

The fourth proportional to 125,214.88, 172,782.48 and 77,499.04 is: 106,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,214.88 : 172,782.48 = 77,499.04 : x
  2. Step 2: Convert to fraction form
    125,214.88/172,782.48 = 77,499.04/x
  3. Step 3: Cross multiply
    125,214.88x = 172,782.48 × 77,499.04
  4. Step 4: Simplify right side
    125,214.88x = 13,390,476,328.82
  5. Step 5: Solve for x
    x = 13,390,476,328.82/125,214.88
  6. Step 6: Final answer
    x = 106,939.98

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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.