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Finding the Fourth Proportional to 125,234, 172,840.64 and 77,502.73

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Solution

The fourth proportional to 125,234, 172,840.64 and 77,502.73 is: 106,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,234 : 172,840.64 = 77,502.73 : x
  2. Step 2: Convert to fraction form
    125,234/172,840.64 = 77,502.73/x
  3. Step 3: Cross multiply
    125,234x = 172,840.64 × 77,502.73
  4. Step 4: Simplify right side
    125,234x = 13,395,621,454.95
  5. Step 5: Solve for x
    x = 13,395,621,454.95/125,234
  6. Step 6: Final answer
    x = 106,964.73

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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.