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Finding the Fourth Proportional to 145,349, 200,598.22 and 80,824.66

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Solution

The fourth proportional to 145,349, 200,598.22 and 80,824.66 is: 111,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,349 : 200,598.22 = 80,824.66 : x
  2. Step 2: Convert to fraction form
    145,349/200,598.22 = 80,824.66/x
  3. Step 3: Cross multiply
    145,349x = 200,598.22 × 80,824.66
  4. Step 4: Simplify right side
    145,349x = 16,213,282,928.11
  5. Step 5: Solve for x
    x = 16,213,282,928.11/145,349
  6. Step 6: Final answer
    x = 111,547.26

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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.