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Finding the Fourth Proportional to 82,114.88, 123,172.32 and 19,785.44

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Solution

The fourth proportional to 82,114.88, 123,172.32 and 19,785.44 is: 29,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,114.88 : 123,172.32 = 19,785.44 : x
  2. Step 2: Convert to fraction form
    82,114.88/123,172.32 = 19,785.44/x
  3. Step 3: Cross multiply
    82,114.88x = 123,172.32 × 19,785.44
  4. Step 4: Simplify right side
    82,114.88x = 2,437,018,547.02
  5. Step 5: Solve for x
    x = 2,437,018,547.02/82,114.88
  6. Step 6: Final answer
    x = 29,678.16

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1.5x scale

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.