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Finding the Fourth Proportional to 277,097.10, 415,689.21 and 90,064.86

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Solution

The fourth proportional to 277,097.10, 415,689.21 and 90,064.86 is: 135,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,097.10 : 415,689.21 = 90,064.86 : x
  2. Step 2: Convert to fraction form
    277,097.10/415,689.21 = 90,064.86/x
  3. Step 3: Cross multiply
    277,097.10x = 415,689.21 × 90,064.86
  4. Step 4: Simplify right side
    277,097.10x = 37,438,990,502.16
  5. Step 5: Solve for x
    x = 37,438,990,502.16/277,097.10
  6. Step 6: Final answer
    x = 135,111.45

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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.