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Finding the Fourth Proportional to 200,740.32, 301,139.12 and 65,775.52

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Solution

The fourth proportional to 200,740.32, 301,139.12 and 65,775.52 is: 98,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,740.32 : 301,139.12 = 65,775.52 : x
  2. Step 2: Convert to fraction form
    200,740.32/301,139.12 = 65,775.52/x
  3. Step 3: Cross multiply
    200,740.32x = 301,139.12 × 65,775.52
  4. Step 4: Simplify right side
    200,740.32x = 19,807,582,210.34
  5. Step 5: Solve for x
    x = 19,807,582,210.34/200,740.32
  6. Step 6: Final answer
    x = 98,672.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.