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Finding the Fourth Proportional to 145,097.52, 200,236.80 and 87,728.64

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Solution

The fourth proportional to 145,097.52, 200,236.80 and 87,728.64 is: 121,066.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,097.52 : 200,236.80 = 87,728.64 : x
  2. Step 2: Convert to fraction form
    145,097.52/200,236.80 = 87,728.64/x
  3. Step 3: Cross multiply
    145,097.52x = 200,236.80 × 87,728.64
  4. Step 4: Simplify right side
    145,097.52x = 17,566,502,141.95
  5. Step 5: Solve for x
    x = 17,566,502,141.95/145,097.52
  6. Step 6: Final answer
    x = 121,066.87

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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.