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Finding the Fourth Proportional to 190,428.55, 285,643.85 and 57,307.90

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Solution

The fourth proportional to 190,428.55, 285,643.85 and 57,307.90 is: 85,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,428.55 : 285,643.85 = 57,307.90 : x
  2. Step 2: Convert to fraction form
    190,428.55/285,643.85 = 57,307.90/x
  3. Step 3: Cross multiply
    190,428.55x = 285,643.85 × 57,307.90
  4. Step 4: Simplify right side
    190,428.55x = 16,369,649,191.42
  5. Step 5: Solve for x
    x = 16,369,649,191.42/190,428.55
  6. Step 6: Final answer
    x = 85,962.16

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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.