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Finding the Fourth Proportional to 144,969.93, 200,068.47 and 81,311.82

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Solution

The fourth proportional to 144,969.93, 200,068.47 and 81,311.82 is: 112,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,969.93 : 200,068.47 = 81,311.82 : x
  2. Step 2: Convert to fraction form
    144,969.93/200,068.47 = 81,311.82/x
  3. Step 3: Cross multiply
    144,969.93x = 200,068.47 × 81,311.82
  4. Step 4: Simplify right side
    144,969.93x = 16,267,931,420.32
  5. Step 5: Solve for x
    x = 16,267,931,420.32/144,969.93
  6. Step 6: Final answer
    x = 112,215.90

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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.