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Finding the Fourth Proportional to 125,296.32, 172,941.30 and 77,521.44

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Solution

The fourth proportional to 125,296.32, 172,941.30 and 77,521.44 is: 106,999.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,296.32 : 172,941.30 = 77,521.44 : x
  2. Step 2: Convert to fraction form
    125,296.32/172,941.30 = 77,521.44/x
  3. Step 3: Cross multiply
    125,296.32x = 172,941.30 × 77,521.44
  4. Step 4: Simplify right side
    125,296.32x = 13,406,658,611.47
  5. Step 5: Solve for x
    x = 13,406,658,611.47/125,296.32
  6. Step 6: Final answer
    x = 106,999.62

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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.