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Finding the Fourth Proportional to 125,342.66, 172,972.41 and 77,586.50

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Solution

The fourth proportional to 125,342.66, 172,972.41 and 77,586.50 is: 107,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,342.66 : 172,972.41 = 77,586.50 : x
  2. Step 2: Convert to fraction form
    125,342.66/172,972.41 = 77,586.50/x
  3. Step 3: Cross multiply
    125,342.66x = 172,972.41 × 77,586.50
  4. Step 4: Simplify right side
    125,342.66x = 13,420,323,888.47
  5. Step 5: Solve for x
    x = 13,420,323,888.47/125,342.66
  6. Step 6: Final answer
    x = 107,069.08

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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.