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Finding the Fourth Proportional to 212,754.25, 319,159.04 and 77,797.30

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Solution

The fourth proportional to 212,754.25, 319,159.04 and 77,797.30 is: 116,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,754.25 : 319,159.04 = 77,797.30 : x
  2. Step 2: Convert to fraction form
    212,754.25/319,159.04 = 77,797.30/x
  3. Step 3: Cross multiply
    212,754.25x = 319,159.04 × 77,797.30
  4. Step 4: Simplify right side
    212,754.25x = 24,829,710,545.31
  5. Step 5: Solve for x
    x = 24,829,710,545.31/212,754.25
  6. Step 6: Final answer
    x = 116,706.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.