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Finding the Fourth Proportional to 145,041.84, 200,160.84 and 81,384.24

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Solution

The fourth proportional to 145,041.84, 200,160.84 and 81,384.24 is: 112,311.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,041.84 : 200,160.84 = 81,384.24 : x
  2. Step 2: Convert to fraction form
    145,041.84/200,160.84 = 81,384.24/x
  3. Step 3: Cross multiply
    145,041.84x = 200,160.84 × 81,384.24
  4. Step 4: Simplify right side
    145,041.84x = 16,289,937,841.16
  5. Step 5: Solve for x
    x = 16,289,937,841.16/145,041.84
  6. Step 6: Final answer
    x = 112,311.99

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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.