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Finding the Fourth Proportional to 144,312.80, 199,022.70 and 90,602.84

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Solution

The fourth proportional to 144,312.80, 199,022.70 and 90,602.84 is: 124,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,312.80 : 199,022.70 = 90,602.84 : x
  2. Step 2: Convert to fraction form
    144,312.80/199,022.70 = 90,602.84/x
  3. Step 3: Cross multiply
    144,312.80x = 199,022.70 × 90,602.84
  4. Step 4: Simplify right side
    144,312.80x = 18,032,021,844.47
  5. Step 5: Solve for x
    x = 18,032,021,844.47/144,312.80
  6. Step 6: Final answer
    x = 124,950.95

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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.