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Finding the Fourth Proportional to 190,312, 285,457.02 and 57,189.40

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Solution

The fourth proportional to 190,312, 285,457.02 and 57,189.40 is: 85,780.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,312 : 285,457.02 = 57,189.40 : x
  2. Step 2: Convert to fraction form
    190,312/285,457.02 = 57,189.40/x
  3. Step 3: Cross multiply
    190,312x = 285,457.02 × 57,189.40
  4. Step 4: Simplify right side
    190,312x = 16,325,115,699.59
  5. Step 5: Solve for x
    x = 16,325,115,699.59/190,312
  6. Step 6: Final answer
    x = 85,780.80

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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.