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Finding the Fourth Proportional to 125,225.94, 172,829.51 and 77,494.66

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Solution

The fourth proportional to 125,225.94, 172,829.51 and 77,494.66 is: 106,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,225.94 : 172,829.51 = 77,494.66 : x
  2. Step 2: Convert to fraction form
    125,225.94/172,829.51 = 77,494.66/x
  3. Step 3: Cross multiply
    125,225.94x = 172,829.51 × 77,494.66
  4. Step 4: Simplify right side
    125,225.94x = 13,393,364,115.42
  5. Step 5: Solve for x
    x = 13,393,364,115.42/125,225.94
  6. Step 6: Final answer
    x = 106,953.59

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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.