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Finding the Fourth Proportional to 172,899.12, 238,607.46 and 97,446

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Solution

The fourth proportional to 172,899.12, 238,607.46 and 97,446 is: 134,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,899.12 : 238,607.46 = 97,446 : x
  2. Step 2: Convert to fraction form
    172,899.12/238,607.46 = 97,446/x
  3. Step 3: Cross multiply
    172,899.12x = 238,607.46 × 97,446
  4. Step 4: Simplify right side
    172,899.12x = 23,251,342,547.16
  5. Step 5: Solve for x
    x = 23,251,342,547.16/172,899.12
  6. Step 6: Final answer
    x = 134,479.24

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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.