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Finding the Fourth Proportional to 144,322, 216,482.46 and 39,140.80

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Solution

The fourth proportional to 144,322, 216,482.46 and 39,140.80 is: 58,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,322 : 216,482.46 = 39,140.80 : x
  2. Step 2: Convert to fraction form
    144,322/216,482.46 = 39,140.80/x
  3. Step 3: Cross multiply
    144,322x = 216,482.46 × 39,140.80
  4. Step 4: Simplify right side
    144,322x = 8,473,296,670.37
  5. Step 5: Solve for x
    x = 8,473,296,670.37/144,322
  6. Step 6: Final answer
    x = 58,711.05

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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.