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Finding the Fourth Proportional to 190,297, 285,434.52 and 57,174.40

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Solution

The fourth proportional to 190,297, 285,434.52 and 57,174.40 is: 85,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,297 : 285,434.52 = 57,174.40 : x
  2. Step 2: Convert to fraction form
    190,297/285,434.52 = 57,174.40/x
  3. Step 3: Cross multiply
    190,297x = 285,434.52 × 57,174.40
  4. Step 4: Simplify right side
    190,297x = 16,319,547,420.29
  5. Step 5: Solve for x
    x = 16,319,547,420.29/190,297
  6. Step 6: Final answer
    x = 85,758.30

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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.