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Finding the Fourth Proportional to 144,970.93, 200,069.85 and 81,312.82

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Solution

The fourth proportional to 144,970.93, 200,069.85 and 81,312.82 is: 112,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,970.93 : 200,069.85 = 81,312.82 : x
  2. Step 2: Convert to fraction form
    144,970.93/200,069.85 = 81,312.82/x
  3. Step 3: Cross multiply
    144,970.93x = 200,069.85 × 81,312.82
  4. Step 4: Simplify right side
    144,970.93x = 16,268,243,700.48
  5. Step 5: Solve for x
    x = 16,268,243,700.48/144,970.93
  6. Step 6: Final answer
    x = 112,217.28

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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.