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Finding the Fourth Proportional to 190,472.16, 285,506.64 and 70,452

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Solution

The fourth proportional to 190,472.16, 285,506.64 and 70,452 is: 105,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,472.16 : 285,506.64 = 70,452 : x
  2. Step 2: Convert to fraction form
    190,472.16/285,506.64 = 70,452/x
  3. Step 3: Cross multiply
    190,472.16x = 285,506.64 × 70,452
  4. Step 4: Simplify right side
    190,472.16x = 20,114,513,801.28
  5. Step 5: Solve for x
    x = 20,114,513,801.28/190,472.16
  6. Step 6: Final answer
    x = 105,603.43

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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.